Question 1

Solve the system of equations below by the Gaussian elimination method. 
A) 
B) 
C)no solution
D) 
E)

Accepted Answer

E

Question 2

Use the matrix capabilities of a graphing utility to find AB , if possible. 
A) 
B) 
C) 
D) 
E)not possible

Accepted Answer

B

Question 3

Write the constant matrix of the system of equations below. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

B

Question 4

Find the determinant of the matrix  .
A)6
B)22
C)-63
D)-33
E)-12

Accepted Answer

The answer of Find the determinant of the matrix ...

Question 5

Solve for X in the equation given. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve for X in the equation given....

Question 6

Solve for X in the equation given. 
A) 
B) 
C)not possible
D) 
E)

Accepted Answer

The answer of Solve for X in the equation given....

Question 7

If possible, find 2 A 5 B . 
A) 
B) 
C) 
D) 
E)not possible

Accepted Answer

The answer of If possible, find 2 A 5 B...

Question 8

Solve the system of linear equations  using an inverse matrix.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the system of linear equations ...

Question 9

Find the inverse of the matrix  (if it exists).
A)does not exist
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the inverse of the matrix ...

Question 10

Solve the system of linear equations  using an inverse matrix.
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the system of linear equations ...

Question 11

If possible, find A B . 
A) 
B)not possible
C) 
D) 
E)

Accepted Answer

The answer of If possible, find A B . 
A)...

Question 12

Use the matrix capabilities of a graphing utility to find the inverse of the matrix  (if it exists).
A)does not exist
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the matrix capabilities of a graphing...

Question 13

Solve the system of equations below by the Gaussian elimination method: 
A)no solution
B) 
C) 
D) 
E)

Accepted Answer

The answer of Solve the system of equations below by...

Question 14

A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed Weed, Winterizer Blend, and 17-17-17. The number of bags that were sold last weekend is represented by A . Feed Weed Winterizer 17-17-17     The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). Selling Price Profit    (a)Compute AB and interpret the result. Show all your work. (b)Find the store s total profit from fertilizer sales for the weekend. Show your work.

Accepted Answer

The answer of A lawn-and-garden store sells three types of...

Question 15

Write the augmented matrix of the system of equations below. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the augmented matrix of the system...

Question 16

If possible, find AB . 
A) 
B)not possible
C) 
D) 
E)

Accepted Answer

The answer of If possible, find AB . 
A) 
B)not...

Question 17

Use the matrix capabilities of a graphing utility to solve the following system of linear equations: 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Use the matrix capabilities of a graphing...

Question 18

Write the coefficient matrix of the system of equations below. 
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Write the coefficient matrix of the system...

Question 19

Find the inverse of the matrix  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

The answer of Find the inverse of the matrix ...

Question 20

Find the inverse of the matrix  .
A) 
B) 
C) 
D) 
E)

Accepted Answer

To find the inverse of a matrix, we need to use matrix algebra. However, since the given matrix is not in a recognizable form, we cannot directly apply the formula for inverse. Instead, we can use some properties of matrices to manipulate the given matrix into a form that we can work with. One such property is that the product of a matrix and its inverse is the identity matrix (a matrix with 1's on the diagonal and 0's everywhere else). 
Therefore, we can set up the equation 
11ebfdc1_ec57_6d6c_abe3_ef9247e6edb0_TBX8727_11 * X = I 
where X is the unknown inverse matrix and I is the 3x3 identity matrix. 
Solving for X, we get 
X = 11ebfdc1_ec57_947f_abe3_157e711822af_TBX8727_11 
Therefore, the answer is choice C.

Quiz 10: Matrices

Solve the system of equations below by the Gaussian elimination method.

Use the matrix capabilities of a graphing utility to find AB , if possible.

Write the constant matrix of the system of equations below.

Find the determinant of the matrix .

Solve for X in the equation given.

Solve for X in the equation given.

If possible, find 2 A 5 B .

Solve the system of linear equations using an inverse matrix.

Find the inverse of the matrix (if it exists) .

Solve the system of linear equations using an inverse matrix.

If possible, find A B .

Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists) .

Solve the system of equations below by the Gaussian elimination method:

Write the augmented matrix of the system of equations below.

If possible, find AB .

Use the matrix capabilities of a graphing utility to solve the following system of linear equations:

Write the coefficient matrix of the system of equations below.

Find the inverse of the matrix .

Find the inverse of the matrix .