تكلم مع الذكاء الاصطناعي
Deck 3: Matrices
ملء الشاشة (f)
سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
; 
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
; 
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
سؤال
Write the transpose of matrix A. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Write the matrix that is the negative of matrix B. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
What is the order of matrices A, B, C, D, E?
, 
, 
, 
, 
A) Matrix A is 2×2, matrix B is 3×2, matrix C is 2×3, matrix D is 3×3, matrix E is 5×2.
B) Matrix A is 3×1, matrix B is 3×3, matrix C is 2×5, matrix D is 12×11, matrix E is 3×7.
C) Matrix A is 2×2, matrix B is 2×3, matrix C is 3×2, matrix D is 3×3, matrix E is 2×5.
D) Matrix A is 2×2, matrix B is 3×3, matrix C is 3×3, matrix D is 3×3, matrix E is 5×5.
E) Matrix A is 1×2, matrix B is 3×2, matrix C is 2×3, matrix D is 12×3, matrix E is 3×2.
, , , , A) Matrix A is 2×2, matrix B is 3×2, matrix C is 2×3, matrix D is 3×3, matrix E is 5×2.
B) Matrix A is 3×1, matrix B is 3×3, matrix C is 2×5, matrix D is 12×11, matrix E is 3×7.
C) Matrix A is 2×2, matrix B is 2×3, matrix C is 3×2, matrix D is 3×3, matrix E is 2×5.
D) Matrix A is 2×2, matrix B is 3×3, matrix C is 3×3, matrix D is 3×3, matrix E is 5×5.
E) Matrix A is 1×2, matrix B is 3×2, matrix C is 2×3, matrix D is 12×3, matrix E is 3×2.
سؤال
Write a zero matrix that is the same order as D.
A) 
B)
C)
D)
E) 
A)
B)
C)
D)
E)
سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
; 
A)
B)
C)
D)
E)
is undefined
; A)
B)
C)
D)
E)
is undefined سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
; 
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
سؤال
Use the following matrices to perform the indicated matrix operations, if possible.
; 
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
; 
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
سؤال
What is element 
? 
A)
B)
C)
D)
E)
? A)
B)
C)
D)
E)
سؤال
Write the transpose of matrix F. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
; 
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
سؤال
If matrix M has element 
, what is 
? 
A)
B)
C)
D)
E)
, what is ? A)
B)
C)
D)
E)
سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
; 
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
سؤال
Find x, y, z and w. 
A)
, and 
B)
, and 
C)
, and 
D)
, and 
E)
, and 
A)
, and B)
, and C)
, and D)
, and E)
, and سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
; 
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
سؤال
Use the following matrices to perform the indicated matrix operations, if possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
What is the sum of matrix M and its negative? 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their 2002 data. Form a matrix for the 1995 data and a matrix for the 2002 data.
A)
; 
B)
; 
C)
; 
D)
; 
E)
; 
A)
; B)
; C)
; D)
; E)
; سؤال
A poll of 3620 people revealed that of the respondents who were registered Republicans, 893 approved of the president's job performance, 257 did not, and 135 had no opinion. Of the registered Democrats, 142 approved of the president's job performance, 426 did not, and 501 had no opinion. Of those registered as Independents, 177 approved, 64 did not approve, and 801 had no opinion. Of the remaining respondents, who were not registered, 142 approved, 38 did not approve, and 44 had no opinion. Represent these data in a 3×4 matrix.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The following tables give the death rates, per 100,000 population, by age for selected years for males and females. If matrix M gives the male data and matrix F gives the female data, find matrix M - F and describe what it means.
A) 
M - F represents how much greater the numbers are for males in each category per year.
B) 
M - F represents how much greater the numbers are for males in each category per year.
C) 
M - F represents how much greater the numbers are for females in each category per year.
D)
M - F represents how much greater the numbers are for females in each category per year.
E)
M - F represents only the male death rates, per 100,000 population by age.
A)
M - F represents how much greater the numbers are for males in each category per year.
B)
M - F represents how much greater the numbers are for males in each category per year.
C)
M - F represents how much greater the numbers are for females in each category per year.
D)
M - F represents how much greater the numbers are for females in each category per year.E)
M - F represents only the male death rates, per 100,000 population by age. سؤال
The tables below give the numbers of some species of threatened and endangered wildlife in the United States and in foreign countries in 2003. Let A represent the matrix that contains the number of each of these species in the United States in 2003 and B represent the matrix that contains the number of each of these species outside the United States in 2003. Find the matrix B - A. What do the negative entries in matrix B - A mean?
A) 
The negative entries tell us that that particular species is extinct.
B) 
The negative entries tell us how many more endangered or threatened species are in foreign countries.
C) 
The negative entries tell us that there are more endangered or threatened species in foreign countries.
D) 
The negative entries tell us that that particular species is extinct.
E) 
The negative entries tell us how many more endangered or threatened species are in the United States.
A)
The negative entries tell us that that particular species is extinct.
B)
The negative entries tell us how many more endangered or threatened species are in foreign countries.
C)
The negative entries tell us that there are more endangered or threatened species in foreign countries.
D)
The negative entries tell us that that particular species is extinct.
E)
The negative entries tell us how many more endangered or threatened species are in the United States.
سؤال
Find x, y, z and w. 
A)
and 
B)
and 
C)
and 
D)
and 
E)
and 
A)
and B)
and C)
and D)
and E)
and سؤال
Find x, y, z, and w . 
A)
and 
B)
and 
C)
and 
D)
and 
E)
and 
A)
and B)
and C)
and D)
and E)
and سؤال
The following tables give the death rates, per 100,000 population, by age for selected years for males and females. If matrix M gives the male data and matrix F gives the female data, use matrix operations to find the death rate per 100,000 for all people in the age categories given and for the given years.
A) 
B) 
C) 
D)
E)
A)
B)
C)
D)
E)
سؤال
Using the data in the following tables, Let matrix A represent imports (in billions of dollars) to U.S. from country groupings, and let matrix B represent exports (in billions of dollars) from U.S. to country groupings. Find the total U.S. trade with these groupings by finding A + B.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The following tables give the capital expenditures and gross operating costs of manufacturing establishments for pollution abatement, in millions of dollars. Which type of pollution abatement was most expensive in 2005?
A) Solid Contained Waste
B) Water
C) Air
A) Solid Contained Waste
B) Water
C) Air
سؤال
The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their 2002 data. Use a matrix operation to find the change from 1995 to 2002 in rank for each breed and in registration numbers for each breed.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
From the data in the following table, make a matrix A that gives the value (in billions of dollars) of U.S. imports from the various country groupings in the years 2000 and 2002.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The tables below give the numbers of some species of threatened and endangered wildlife in the United States and in foreign countries in 2003. Write a matrix A that contains the number of each of these species in the United States in 2003 and a matrix B that contains the number of each of these species outside the United States in 2003.
A) 
, 
B) 
, 
C) 
, 
D) 
, 
E) 
, 
A)
, B)
, C)
, D)
, E)
, سؤال
Using the data in the following tables, Let matrix A represent imports (in billions of dollars) to U.S. from country groupings, and let matrix B represent exports (in billions of dollars) from U.S. to country groupings. Find the U.S. trade balance with each country grouping in each year by finding matrix B - A.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their 2002 data. Which breed had the greatest improvement in rank? 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their 2002 data. Which breed had the largest increase in the number of registrations?
A) 
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The following tables give the capital expenditures and gross operating costs of manufacturing establishments for pollution abatement, in millions of dollars. Use a calculator or spreadsheet to find the sum of the matrices containing these data. This will yield the total costs of manufacturing establishments for air, water, and solid contained waste pollution abatement for the years 2002-2005.
A) 
B) 
C) 
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve for x, y and z. 
A)
and 
B)
and 
C)
and 
D)
and 
E)
and 
A)
and B)
and C)
and D)
and E)
and سؤال
The tables below give the numbers of some species of threatened and endangered wildlife in the United States and in foreign countries in 2003. Find a matrix with the total number of these species. Assume that U.S. and foreign species are different.
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Let matrix A represent the sales (in thousands of dollars) for the Walbash Company in 2004 in various cities, and let matrix B represent the sales (in thousands of dollars) for the same company in 2005 in the same cities. Write the matrix that represents the change in sales by type (wholesale and retail) and city (Chicago, Atlanta, and Memphis) from 2004 to 2005. 
; 
A)
B) 
C) 
D)
E) 
; A)
B)
C)
D)
E)
سؤال
Let matrix A represent the sales (in thousands of dollars) for the Walbash Company in 2004 in various cities, and let matrix B represent the sales (in thousands of dollars) for the same company in 2005 in the same cities. Write the matrix that represents the total sales by type (wholesale and retail) and city (Chicago, Atlanta, and Memphis) for both years. 
; 
A)
B) 
C) 
D)
E) 
; A)
B)
C)
D)
E)
سؤال
When a firm buys another company, the company frequently has some outstanding debt that the purchaser must pay. Consider three companies, A, B, and C, that are purchased by Maxx Industries. The following table gives the amount of each company's debt, classified by the number of days remaining until the debt must be paid. What payment plan did Maxx Industries use if the outstanding debt is given by the following matrix? 
A) They paid 30% of the debts due in 30 days, 100% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
B) They paid 30% of the debts due in 30 days, 30% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
C) They paid 100% of the debts due in 30 days, 100% of the debts due in 60 days, and 30% of the debts due in more than 60 days.
D) They paid 100% of the debts due in 30 days, 30% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
E) They paid 100% of the debts due in 30 days, 30% of the debts due in 60 days, and 30% of the debts due in more than 60 days.
A) They paid 30% of the debts due in 30 days, 100% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
B) They paid 30% of the debts due in 30 days, 30% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
C) They paid 100% of the debts due in 30 days, 100% of the debts due in 60 days, and 30% of the debts due in more than 60 days.
D) They paid 100% of the debts due in 30 days, 30% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
E) They paid 100% of the debts due in 30 days, 30% of the debts due in 60 days, and 30% of the debts due in more than 60 days.
سؤال
Use the matrices to find 
, if possible. 
A)
B)
C)
D)
E)
is undefined.
, if possible.
A)
B)
C)
D)
E)
is undefined. سؤال
Ace, Baker, and Champ are being purchased by ALCO, Inc., and their outstanding debts must be paid by the purchaser. The matrix below gives the amounts of debt and the terms for the companies being purchased. Suppose ALCO decides to pay 80% of all debts due in 30 days and to increase the debts due in 60 days by 20%. Write a matrix that gives the debts after these transactions are made.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
In order to rank the five members of its chess team for play against another school, the coach draws the following diagram. An arrow from 1 to 2 means player 1 has defeated player 2.
Let matrix A represent the matrix with the following elements:
.
Let matrix B represent the matrix with the following elements:
.
The player i is the top-ranked player if the sum of row i in the matrix A + B is the largest. What is the number of this player?
A) player 3
B) player 2
C) player 5
D) player 1
E) player 4
Let matrix A represent the matrix with the following elements:
.Let matrix B represent the matrix with the following elements:
.The player i is the top-ranked player if the sum of row i in the matrix A + B is the largest. What is the number of this player?
A) player 3
B) player 2
C) player 5
D) player 1
E) player 4
سؤال
Use the matrices to find DE, if possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
In order to rank the five members of its chess team for play against another school, the coach draws the following diagram. An arrow from 1 to 2 means player 1 has defeated player 2.
A) 
B) 
C) 
D)
E)
A)
B)
C)
D)
E)
سؤال
Multiply the matrices. 
A)
B)
C)
D) 
E)
A)
B)
C)
D)
E)
سؤال
Use the matrices to find BE, if possible. 
A)
B)
C)
D)
E) BE is undefined.
A)
B)
C)
D)
E) BE is undefined.
سؤال
Multiply the matrices. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The figure that follows depicts the mean (average) flow time for a job when the critical-ratio rule is used to dispatch workers at several machines required to complete the job. In the figure, WHN 1, WHN 2, and WHN 3 represent three different rules for determining when a worker should be transferred to another machine, and Where represents six rules for determining the machine to which the worker is transferred. Construct a 3×6 matrix A to represent these data, with entries rounded to the nearest integer. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Ace, Baker, and Champ are being purchased by ALCO, Inc., and their outstanding debts must be paid by the purchaser. The matrix below gives the amounts of debt and the terms for the companies being purchased. If ALCO pays 35% of the amount owed on each debt, write the matrix giving the remaining debts.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the matrices to find CD, if possible. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
The matrix that follows represents work efficiency for workers at nine different work centers. Suppose that the work centers changes in rules cause efficiency to decrease by 0.04 at work centers 2 and 5 and to decrease by 0.01 at work center 7. Write the matrix that describes the new efficiencies.
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Use the matrices to find CF, if possible.
A)
B)
C)
D)
E) CF is undefined.
A)
B)
C)
D)
E) CF is undefined.
سؤال
When a firm buys another company, the company frequently has some outstanding debt that the purchaser must pay. Consider three companies, A, B, and C, that are purchased by Maxx Industries. The following table gives the amount of each company's debt, classified by the number of days remaining until the debt must be paid. Suppose Maxx Industries pays 20% of the amount owed on each loan. Write the matrix that would give the remaining debt in each category.
A) 
B) 
C) 
D)
E)
A)
B)
C)
D)
E)
سؤال
Use a computer spreadsheet to find the average efficiency for each work center over the first five workers. Which work center is the most efficient?
A) Number 4
B) Number 3
C) Number 8
D) Number 5
E) Number 1
A) Number 4
B) Number 3
C) Number 8
D) Number 5
E) Number 1
سؤال
In order to rank the five members of its chess team for play against another school, the coach draws the following diagram. An arrow from 1 to 2 means player 1 has defeated player 2.
A) 
B) 
C) 
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the matrices to find BA, if possible.
A)
B)
C)
D)
E) BA is undefined.
A)
B)
C)
D)
E) BA is undefined.
سؤال
Use the matrices to find EC, if possible.
A)
B)
C)
D)
E) EC is undefined.
A)
B)
C)
D)
E) EC is undefined.
سؤال
Multiply the matrices. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the matrices below. Perform the indicated operations.
IA
A)
B)
C)
D)
E)
IA
A)
B)
C)
D)
E)
سؤال
Use matrix F to find F2, if possible. 
A)
B)
C)
D)
E) F2 is undefined.
A)
B)
C)
D)
E) F2 is undefined.
سؤال
Use matrix A to find A2, if possible. 
A)
B)
C)
D)
E) A2 is undefined.
A)
B)
C)
D)
E) A2 is undefined.
سؤال
Use matrix A to find A3, if possible. 
A)
B)
C)
D)
E) A3 is undefined.
A)
B)
C)
D)
E) A3 is undefined.
سؤال
For 
, are FFT and FTF defined?
, are FFT and FTF defined? سؤال
Substitute the given values of x, y, and z into the matrix equation and use matrix multiplication to determine if the values satisfy the equation.
, 
, 
, , سؤال
For 
, what size is each product FFT and FTF?
A) FFT is 2×2; FTF is 2×2
B) FFT is 2×2; FTF is 4×4
C) FFT is 4×2; FTF is 4×4
D) FFT is 4×4; FTF is 2×2
E) FFT is 2×4; FTF is 4×2
, what size is each product FFT and FTF? A) FFT is 2×2; FTF is 2×2
B) FFT is 2×2; FTF is 4×4
C) FFT is 4×2; FTF is 4×4
D) FFT is 4×4; FTF is 2×2
E) FFT is 2×4; FTF is 4×2
سؤال
Use the matrices below. Perform the indicated operations.
DC
A)
B)
C)
D)
E)
DC
A)
B)
C)
D)
E)
سؤال
Use the matrices below. Perform the indicated operations. 
A) 
B) 
C) 
D) 
E) 
A)
B)
C)
D)
E)
سؤال
Use the matrices below. Perform the indicated operations. AI
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
Find AB and BA if 
and 
, with 
.
A)
, 
B)
, 
C)
, 
D)
, 
E)
, 
and , with . A)
, B)
, C)
, D)
, E)
, سؤال
Use the matrices below. Perform the indicated operations.
BA
A) 
B) 
C) 
D) 
E) 
BA
A)
B)
C)
D)
E)
سؤال
For 
, can FFT = FTF? Explain.
A) No, because FFTand FTF have the same dimensions but different values.
B) Yes, because FFT and FTF have the same dimensions.
C) Yes, because FFT and FTF have the same values.
D) No, because FFT and FTF have different dimensions.
E) Yes, because FFT and FTF have the same dimensions and the same values.
, can FFT = FTF? Explain. A) No, because FFTand FTF have the same dimensions but different values.
B) Yes, because FFT and FTF have the same dimensions.
C) Yes, because FFT and FTF have the same values.
D) No, because FFT and FTF have different dimensions.
E) Yes, because FFT and FTF have the same dimensions and the same values.
سؤال
(CD)·E and C·(DE) are equal.
سؤال
Use the matrices to find 
, if possible. 
A)
B)
C)
D)
E)
is undefined.
, if possible. A)
B)
C)
D)
E)
is undefined. سؤال
Use the matrices below. Perform the indicated operations.
I·F·Z
A) 
B) 
C) 
D) 
E) 
I·F·Z
A)
B)
C)
D)
E)
سؤال
CD = DC.
سؤال
Using the matrices A and B below, what condition must be satisfied in order that AB and BA are defined? 
and 
A)
B)
C)
D)
E)
and A)
B)
C)
D)
E)
سؤال
Use the matrices below. Perform the indicated operations.
AZ
A)
B)
C)
D)
E)
AZ
A)
B)
C)
D)
E)
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/230
العب
ملء الشاشة (f)
Deck 3: Matrices
1
Use the following matrices to perform the indicated matrix operations, if possible. ;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
2
Use the following matrices to perform the indicated matrix operations, if possible. ;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
3
Write the transpose of matrix A.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Write the matrix that is the negative of matrix B.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
5
Use the following matrices to perform the indicated matrix operations, if possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
6
What is the order of matrices A, B, C, D, E?
, , , ,
A) Matrix A is 2×2, matrix B is 3×2, matrix C is 2×3, matrix D is 3×3, matrix E is 5×2.
B) Matrix A is 3×1, matrix B is 3×3, matrix C is 2×5, matrix D is 12×11, matrix E is 3×7.
C) Matrix A is 2×2, matrix B is 2×3, matrix C is 3×2, matrix D is 3×3, matrix E is 2×5.
D) Matrix A is 2×2, matrix B is 3×3, matrix C is 3×3, matrix D is 3×3, matrix E is 5×5.
E) Matrix A is 1×2, matrix B is 3×2, matrix C is 2×3, matrix D is 12×3, matrix E is 3×2.
, , , , A) Matrix A is 2×2, matrix B is 3×2, matrix C is 2×3, matrix D is 3×3, matrix E is 5×2.
B) Matrix A is 3×1, matrix B is 3×3, matrix C is 2×5, matrix D is 12×11, matrix E is 3×7.
C) Matrix A is 2×2, matrix B is 2×3, matrix C is 3×2, matrix D is 3×3, matrix E is 2×5.
D) Matrix A is 2×2, matrix B is 3×3, matrix C is 3×3, matrix D is 3×3, matrix E is 5×5.
E) Matrix A is 1×2, matrix B is 3×2, matrix C is 2×3, matrix D is 12×3, matrix E is 3×2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
7
Write a zero matrix that is the same order as D.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
8
Use the following matrices to perform the indicated matrix operations, if possible. ;
A)
B)
C)
D)
E) is undefined
; A)
B)
C)
D)
E)
is undefined فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
9
Use the following matrices to perform the indicated matrix operations, if possible. ;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
10
Use the following matrices to perform the indicated matrix operations, if possible.
;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
11
Use the following matrices to perform the indicated matrix operations, if possible. ;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
12
What is element ?
A)
B)
C)
D)
E)
? A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
13
Write the transpose of matrix F.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
14
Use the following matrices to perform the indicated matrix operations, if possible. ;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
15
If matrix M has element , what is ?
A)
B)
C)
D)
E)
, what is ? A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
16
Use the following matrices to perform the indicated matrix operations, if possible. ;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
17
Find x, y, z and w.
A) , and
B) , and
C) , and
D) , and
E) , and
A)
, and B)
, and C)
, and D)
, and E)
, and فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
18
Use the following matrices to perform the indicated matrix operations, if possible. ;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
19
Use the following matrices to perform the indicated matrix operations, if possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
20
What is the sum of matrix M and its negative?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
21
The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their 2002 data. Form a matrix for the 1995 data and a matrix for the 2002 data.
A) ;
B) ;
C) ;
D) ;
E) ;
A)
; B)
; C)
; D)
; E)
; فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
22
A poll of 3620 people revealed that of the respondents who were registered Republicans, 893 approved of the president's job performance, 257 did not, and 135 had no opinion. Of the registered Democrats, 142 approved of the president's job performance, 426 did not, and 501 had no opinion. Of those registered as Independents, 177 approved, 64 did not approve, and 801 had no opinion. Of the remaining respondents, who were not registered, 142 approved, 38 did not approve, and 44 had no opinion. Represent these data in a 3×4 matrix.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
23
The following tables give the death rates, per 100,000 population, by age for selected years for males and females. If matrix M gives the male data and matrix F gives the female data, find matrix M - F and describe what it means.
A)
M - F represents how much greater the numbers are for males in each category per year.
B)
M - F represents how much greater the numbers are for males in each category per year.
C)
M - F represents how much greater the numbers are for females in each category per year.
D) M - F represents how much greater the numbers are for females in each category per year.
E) M - F represents only the male death rates, per 100,000 population by age.
A)
M - F represents how much greater the numbers are for males in each category per year.
B)
M - F represents how much greater the numbers are for males in each category per year.
C)
M - F represents how much greater the numbers are for females in each category per year.
D)
M - F represents how much greater the numbers are for females in each category per year.E)
M - F represents only the male death rates, per 100,000 population by age. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
24
The tables below give the numbers of some species of threatened and endangered wildlife in the United States and in foreign countries in 2003. Let A represent the matrix that contains the number of each of these species in the United States in 2003 and B represent the matrix that contains the number of each of these species outside the United States in 2003. Find the matrix B - A. What do the negative entries in matrix B - A mean?
A)
The negative entries tell us that that particular species is extinct.
B)
The negative entries tell us how many more endangered or threatened species are in foreign countries.
C)
The negative entries tell us that there are more endangered or threatened species in foreign countries.
D)
The negative entries tell us that that particular species is extinct.
E)
The negative entries tell us how many more endangered or threatened species are in the United States.
A)
The negative entries tell us that that particular species is extinct.
B)
The negative entries tell us how many more endangered or threatened species are in foreign countries.
C)
The negative entries tell us that there are more endangered or threatened species in foreign countries.
D)
The negative entries tell us that that particular species is extinct.
E)
The negative entries tell us how many more endangered or threatened species are in the United States.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
25
Find x, y, z and w.
A) and
B) and
C) and
D) and
E) and
A)
and B)
and C)
and D)
and E)
and فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
26
Find x, y, z, and w .
A) and
B) and
C) and
D) and
E) and
A)
and B)
and C)
and D)
and E)
and فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
27
The following tables give the death rates, per 100,000 population, by age for selected years for males and females. If matrix M gives the male data and matrix F gives the female data, use matrix operations to find the death rate per 100,000 for all people in the age categories given and for the given years.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
28
Using the data in the following tables, Let matrix A represent imports (in billions of dollars) to U.S. from country groupings, and let matrix B represent exports (in billions of dollars) from U.S. to country groupings. Find the total U.S. trade with these groupings by finding A + B.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
29
The following tables give the capital expenditures and gross operating costs of manufacturing establishments for pollution abatement, in millions of dollars. Which type of pollution abatement was most expensive in 2005?
A) Solid Contained Waste
B) Water
C) Air
A) Solid Contained Waste
B) Water
C) Air
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
30
The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their 2002 data. Use a matrix operation to find the change from 1995 to 2002 in rank for each breed and in registration numbers for each breed.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
31
From the data in the following table, make a matrix A that gives the value (in billions of dollars) of U.S. imports from the various country groupings in the years 2000 and 2002.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
32
The tables below give the numbers of some species of threatened and endangered wildlife in the United States and in foreign countries in 2003. Write a matrix A that contains the number of each of these species in the United States in 2003 and a matrix B that contains the number of each of these species outside the United States in 2003.
A) ,
B) ,
C) ,
D) ,
E) ,
A)
, B)
, C)
, D)
, E)
, فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
33
Using the data in the following tables, Let matrix A represent imports (in billions of dollars) to U.S. from country groupings, and let matrix B represent exports (in billions of dollars) from U.S. to country groupings. Find the U.S. trade balance with each country grouping in each year by finding matrix B - A.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
34
The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their 2002 data. Which breed had the greatest improvement in rank?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
35
The following tables give the rank and number of registered dogs for the top ten breeds for 1995 and their 2002 data. Which breed had the largest increase in the number of registrations?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
36
The following tables give the capital expenditures and gross operating costs of manufacturing establishments for pollution abatement, in millions of dollars. Use a calculator or spreadsheet to find the sum of the matrices containing these data. This will yield the total costs of manufacturing establishments for air, water, and solid contained waste pollution abatement for the years 2002-2005.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
37
Solve for x, y and z.
A) and
B) and
C) and
D) and
E) and
A)
and B)
and C)
and D)
and E)
and فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
38
The tables below give the numbers of some species of threatened and endangered wildlife in the United States and in foreign countries in 2003. Find a matrix with the total number of these species. Assume that U.S. and foreign species are different.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
39
Let matrix A represent the sales (in thousands of dollars) for the Walbash Company in 2004 in various cities, and let matrix B represent the sales (in thousands of dollars) for the same company in 2005 in the same cities. Write the matrix that represents the change in sales by type (wholesale and retail) and city (Chicago, Atlanta, and Memphis) from 2004 to 2005. ;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
40
Let matrix A represent the sales (in thousands of dollars) for the Walbash Company in 2004 in various cities, and let matrix B represent the sales (in thousands of dollars) for the same company in 2005 in the same cities. Write the matrix that represents the total sales by type (wholesale and retail) and city (Chicago, Atlanta, and Memphis) for both years. ;
A)
B)
C)
D)
E)
; A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
41
When a firm buys another company, the company frequently has some outstanding debt that the purchaser must pay. Consider three companies, A, B, and C, that are purchased by Maxx Industries. The following table gives the amount of each company's debt, classified by the number of days remaining until the debt must be paid. What payment plan did Maxx Industries use if the outstanding debt is given by the following matrix?
A) They paid 30% of the debts due in 30 days, 100% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
B) They paid 30% of the debts due in 30 days, 30% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
C) They paid 100% of the debts due in 30 days, 100% of the debts due in 60 days, and 30% of the debts due in more than 60 days.
D) They paid 100% of the debts due in 30 days, 30% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
E) They paid 100% of the debts due in 30 days, 30% of the debts due in 60 days, and 30% of the debts due in more than 60 days.
A) They paid 30% of the debts due in 30 days, 100% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
B) They paid 30% of the debts due in 30 days, 30% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
C) They paid 100% of the debts due in 30 days, 100% of the debts due in 60 days, and 30% of the debts due in more than 60 days.
D) They paid 100% of the debts due in 30 days, 30% of the debts due in 60 days, and 100% of the debts due in more than 60 days.
E) They paid 100% of the debts due in 30 days, 30% of the debts due in 60 days, and 30% of the debts due in more than 60 days.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
42
Use the matrices to find , if possible.
A)
B)
C)
D)
E) is undefined.
, if possible.
A)
B)
C)
D)
E)
is undefined. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
43
Ace, Baker, and Champ are being purchased by ALCO, Inc., and their outstanding debts must be paid by the purchaser. The matrix below gives the amounts of debt and the terms for the companies being purchased. Suppose ALCO decides to pay 80% of all debts due in 30 days and to increase the debts due in 60 days by 20%. Write a matrix that gives the debts after these transactions are made.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
44
In order to rank the five members of its chess team for play against another school, the coach draws the following diagram. An arrow from 1 to 2 means player 1 has defeated player 2.
Let matrix A represent the matrix with the following elements: .
Let matrix B represent the matrix with the following elements: .
The player i is the top-ranked player if the sum of row i in the matrix A + B is the largest. What is the number of this player?
A) player 3
B) player 2
C) player 5
D) player 1
E) player 4
Let matrix A represent the matrix with the following elements:
.Let matrix B represent the matrix with the following elements:
.The player i is the top-ranked player if the sum of row i in the matrix A + B is the largest. What is the number of this player?
A) player 3
B) player 2
C) player 5
D) player 1
E) player 4
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
45
Use the matrices to find DE, if possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
46
In order to rank the five members of its chess team for play against another school, the coach draws the following diagram. An arrow from 1 to 2 means player 1 has defeated player 2.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
47
Multiply the matrices.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
48
Use the matrices to find BE, if possible.
A)
B)
C)
D)
E) BE is undefined.
A)
B)
C)
D)
E) BE is undefined.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
49
Multiply the matrices.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
50
The figure that follows depicts the mean (average) flow time for a job when the critical-ratio rule is used to dispatch workers at several machines required to complete the job. In the figure, WHN 1, WHN 2, and WHN 3 represent three different rules for determining when a worker should be transferred to another machine, and Where represents six rules for determining the machine to which the worker is transferred. Construct a 3×6 matrix A to represent these data, with entries rounded to the nearest integer.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
51
Ace, Baker, and Champ are being purchased by ALCO, Inc., and their outstanding debts must be paid by the purchaser. The matrix below gives the amounts of debt and the terms for the companies being purchased. If ALCO pays 35% of the amount owed on each debt, write the matrix giving the remaining debts.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
52
Use the matrices to find CD, if possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
53
The matrix that follows represents work efficiency for workers at nine different work centers. Suppose that the work centers changes in rules cause efficiency to decrease by 0.04 at work centers 2 and 5 and to decrease by 0.01 at work center 7. Write the matrix that describes the new efficiencies.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
54
Use the matrices to find CF, if possible.
A)
B)
C)
D)
E) CF is undefined.
A)
B)
C)
D)
E) CF is undefined.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
55
When a firm buys another company, the company frequently has some outstanding debt that the purchaser must pay. Consider three companies, A, B, and C, that are purchased by Maxx Industries. The following table gives the amount of each company's debt, classified by the number of days remaining until the debt must be paid. Suppose Maxx Industries pays 20% of the amount owed on each loan. Write the matrix that would give the remaining debt in each category.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
56
Use a computer spreadsheet to find the average efficiency for each work center over the first five workers. Which work center is the most efficient?
A) Number 4
B) Number 3
C) Number 8
D) Number 5
E) Number 1
A) Number 4
B) Number 3
C) Number 8
D) Number 5
E) Number 1
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
57
In order to rank the five members of its chess team for play against another school, the coach draws the following diagram. An arrow from 1 to 2 means player 1 has defeated player 2.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
58
Use the matrices to find BA, if possible.
A)
B)
C)
D)
E) BA is undefined.
A)
B)
C)
D)
E) BA is undefined.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
59
Use the matrices to find EC, if possible.
A)
B)
C)
D)
E) EC is undefined.
A)
B)
C)
D)
E) EC is undefined.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
60
Multiply the matrices.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
61
Use the matrices below. Perform the indicated operations.
IA
A)
B)
C)
D)
E)
IA
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
62
Use matrix F to find F2, if possible.
A)
B)
C)
D)
E) F2 is undefined.
A)
B)
C)
D)
E) F2 is undefined.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
63
Use matrix A to find A2, if possible.
A)
B)
C)
D)
E) A2 is undefined.
A)
B)
C)
D)
E) A2 is undefined.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
64
Use matrix A to find A3, if possible.
A)
B)
C)
D)
E) A3 is undefined.
A)
B)
C)
D)
E) A3 is undefined.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
65
For , are FFT and FTF defined?
, are FFT and FTF defined? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
66
Substitute the given values of x, y, and z into the matrix equation and use matrix multiplication to determine if the values satisfy the equation.
, ,
, , فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
67
For , what size is each product FFT and FTF?
A) FFT is 2×2; FTF is 2×2
B) FFT is 2×2; FTF is 4×4
C) FFT is 4×2; FTF is 4×4
D) FFT is 4×4; FTF is 2×2
E) FFT is 2×4; FTF is 4×2
, what size is each product FFT and FTF? A) FFT is 2×2; FTF is 2×2
B) FFT is 2×2; FTF is 4×4
C) FFT is 4×2; FTF is 4×4
D) FFT is 4×4; FTF is 2×2
E) FFT is 2×4; FTF is 4×2
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
68
Use the matrices below. Perform the indicated operations.
DC
A)
B)
C)
D)
E)
DC
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
69
Use the matrices below. Perform the indicated operations.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
70
Use the matrices below. Perform the indicated operations. AI
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
71
Is it true for matrices (as it is for real numbers) that multiplication by a zero matrix only sometimes gives is a result of a zero matrix provided the multiplication is defined?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
72
Find AB and BA if and , with .
A) ,
B) ,
C) ,
D) ,
E) ,
and , with . A)
, B)
, C)
, D)
, E)
, فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
73
Use the matrices below. Perform the indicated operations.
BA
A)
B)
C)
D)
E)
BA
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
74
For , can FFT = FTF? Explain.
A) No, because FFTand FTF have the same dimensions but different values.
B) Yes, because FFT and FTF have the same dimensions.
C) Yes, because FFT and FTF have the same values.
D) No, because FFT and FTF have different dimensions.
E) Yes, because FFT and FTF have the same dimensions and the same values.
, can FFT = FTF? Explain. A) No, because FFTand FTF have the same dimensions but different values.
B) Yes, because FFT and FTF have the same dimensions.
C) Yes, because FFT and FTF have the same values.
D) No, because FFT and FTF have different dimensions.
E) Yes, because FFT and FTF have the same dimensions and the same values.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
75
(CD)·E and C·(DE) are equal.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
76
Use the matrices to find , if possible.
A)
B)
C)
D)
E) is undefined.
, if possible. A)
B)
C)
D)
E)
is undefined. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
77
Use the matrices below. Perform the indicated operations.
I·F·Z
A)
B)
C)
D)
E)
I·F·Z
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
78
CD = DC.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
79
Using the matrices A and B below, what condition must be satisfied in order that AB and BA are defined? and
A)
B)
C)
D)
E)
and A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
80
Use the matrices below. Perform the indicated operations.
AZ
A)
B)
C)
D)
E)
AZ
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 230 في هذه المجموعة.
