Question 1

Three components A,B,and C,are used in the manufacturing of a product.For a production run,100,150,and 200 units of A,B,and C are $2,$1,and $3,respectively.Represent the total cost of A,B,and C by a matrix product.

Accepted Answer

The answer of Three components A,B,and C,are used in the...

Question 2

Perform the indicated operation if possible:

Accepted Answer

The answer of Perform the indicated operation if possible: ...

Question 3

=

Accepted Answer

The answer of  
=
...

Question 4

A bookstore has 100 dictionaries,70 cookbooks,and 90 thesauruses in stock,and a second store with 85 dictionaries,95 cookbooks,and 60 thesauruses in stock.If the value of each dictionary is $28,each cookbook is $22 and each thesaurus is $16,use the matrix operations on a graphing calculator to find the total value of the bookstore's inventory.

Accepted Answer

The answer of A bookstore has 100 dictionaries,70 cookbooks,and 90...

Question 5

An electronics store has 35 televisions,15 VCRs,and 25 CD players in stock,and a second store with 45 televisions,25 VCRs,and 30 CD players in stock.If the value of each television is $400,each VCR is $200 and each CD player is $150,find the total value of the electronics store's inventory.

Accepted Answer

The answer of An electronics store has 35 televisions,15 VCRs,and...

Question 6

The prices (in dollars per unit)for 3 video tapes are represented by the price vector:  
A video rental store orders these tapes in the quantities given by the column vector:  
Find the total cost (in dollars)of the purchase.

Accepted Answer

The answer of The prices (in dollars per unit)for 3...

Question 7

=

Accepted Answer

By comparing the two strings, it can be observed that the only difference between them is in the third last digit, which changes from "c" to "d". Therefore, the answer would be the second string with the third last digit changed to "e", which matches with option A.

Question 8

Let A =  
.Find  
.

Accepted Answer

The answer of Let A =  
.Find  
....

Question 9

Use matrix multiplication to represent the system:

Accepted Answer

The answer of Use matrix multiplication to represent the system:...

Question 10

Give an example of 2 matrices A and B where A × B ≠ B × A.

Accepted Answer

The answer of Give an example of 2 matrices A...

Question 11

If A is a 3 × 5 matrix,B is a 5 × 7 matrix,C is a 7 × 11 matrix,D is a 5 × 7 matrix,which of the following matrix products are defined? Give the size of each answer if it is defined.
(a)A × B × C
(b)B × C × D
(c)A × D × C
(d)A × B × D

Accepted Answer

The answer of If A is a 3 × 5...

Question 12

A pet store has 6 kittens,10 puppies,and 7 parrots in stock,and a second store with 8 kittens,14 puppies,and 9 parrots in stock.If the value of each kitten is $55,each puppy is $150 and each parrot is $35,find the total value of the pet store's inventory.

Accepted Answer

The answer of A pet store has 6 kittens,10 puppies,and...

Question 13

An appliance store has 25 refrigerators,30 ranges,and 10 dishwashers in stock.If the value of each refrigerator is $600,each range is $300 and each dishwasher is $250,use matrix operations to find the total value of the appliance store's inventory.

Accepted Answer

The answer of An appliance store has 25 refrigerators,30 ranges,and...

Question 14

Perform the indicated operations and simplify your answer: 2  
-

Accepted Answer

The answer of Perform the indicated operations and simplify your...

Question 15

An electronics store has 35 televisions,15 VCRs,and 25 CD players in stock.If the value of each television is $400,each VCR is $200 and each CD player is $150,use the matrix operations on a graphing calculator to find the total value of the electronics store's inventory.

Accepted Answer

The answer of An electronics store has 35 televisions,15 VCRs,and...

Question 16

The prices (in dollars per unit)for 3 textbooks are represented by the price vector:
P =  
.A university bookstore orders these books in the quantities given by the column vector: Q =  
.Use the matrix operations on a graphing calculator to find the total cost (in dollars)of the purchase.

Accepted Answer

The answer of The prices (in dollars per unit)for 3...

Question 17

If the orders of the matrices Q,R,and S are 4 × 5,3 × 2,and 5 × 3,respectively,then the order of QRS is

Accepted Answer

The order of the product of matrices depends on the inner dimensions matching and the outer dimensions determining the order of the result. For QRS, Q is 4x5, R is 3x2, and S is 5x3. The multiplication Q(RS) is considered. RS is possible with R being 3x2 and S being 5x3, but since the inner dimensions (2 and 5) do not match, RS cannot be computed. Therefore, QRS cannot be determined based on the given orders, making all provided options incorrect.

Question 18

An appliance store has 25 refrigerators,30 ranges,and 10 dishwashers in stock,and a second store with 15 refrigerators,25 ranges,and 20 dishwashers in stock.If the value of each refrigerator is $600,each range is $300 and each dishwasher is $250,find the total value of the inventory at the two appliance stores.

Accepted Answer

The answer of An appliance store has 25 refrigerators,30 ranges,and...

Question 19

Let A =  
; B =  
; C =  
.Find A

Accepted Answer

The answer of Let A =  
; B =...

Question 20

Use matrix multiplication to represent the system:

Accepted Answer

The answer of Use matrix multiplication to represent the system:...

Quiz 7: Matrix Algebra

Three components A,B,and C,are used in the manufacturing of a product.For a production run,100,150,and 200 units of A,B,and C are $2,$1,and $3,respectively.Represent the total cost of A,B,and C by a matrix product.

Perform the indicated operation if possible:

=

An electronics store has 35 televisions,15 VCRs,and 25 CD players in stock,and a second store with 45 televisions,25 VCRs,and 30 CD players in stock.If the value of each television is $400,each VCR is $200 and each CD player is $150,find the total value of the electronics store's inventory.

The prices (in dollars per unit)for 3 video tapes are represented by the price vector: A video rental store orders these tapes in the quantities given by the column vector: Find the total cost (in dollars)of the purchase.

=

Let A = .Find .

Use matrix multiplication to represent the system:

Give an example of 2 matrices A and B where A × B ≠ B × A.

If A is a 3 × 5 matrix,B is a 5 × 7 matrix,C is a 7 × 11 matrix,D is a 5 × 7 matrix,which of the following matrix products are defined? Give the size of each answer if it is defined. (a)A × B × C (b)B × C × D (c)A × D × C (d)A × B × D

A pet store has 6 kittens,10 puppies,and 7 parrots in stock,and a second store with 8 kittens,14 puppies,and 9 parrots in stock.If the value of each kitten is $55,each puppy is $150 and each parrot is $35,find the total value of the pet store's inventory.

An appliance store has 25 refrigerators,30 ranges,and 10 dishwashers in stock.If the value of each refrigerator is $600,each range is $300 and each dishwasher is $250,use matrix operations to find the total value of the appliance store's inventory.

Perform the indicated operations and simplify your answer: 2 -

An electronics store has 35 televisions,15 VCRs,and 25 CD players in stock.If the value of each television is $400,each VCR is $200 and each CD player is $150,use the matrix operations on a graphing calculator to find the total value of the electronics store's inventory.

The prices (in dollars per unit)for 3 textbooks are represented by the price vector: P = .A university bookstore orders these books in the quantities given by the column vector: Q = .Use the matrix operations on a graphing calculator to find the total cost (in dollars)of the purchase.

If the orders of the matrices Q,R,and S are 4 × 5,3 × 2,and 5 × 3,respectively,then the order of QRS is

Let A = ; B = ; C = .Find A

Use matrix multiplication to represent the system: