The questions are numbered. They contain four possible answers. The new question begins when there is a new bold number. such as 1. or 2. it will be quite obvious.What is the value of a12?

1.

23

8

14

11

2. Which matrix equation represents the system of equations?

3. Find the resulting matrix from applying the indicated row operations.

4.

What is the solution of matrix equation

X=

X=

X=

X=

X=

5. Which matrices are multiplicative inverses?

6.

Does

have an inverse? If yes, what is it?

Yes, the inverse is

.

No, the inverse of the matrix does not exist.

Yes, the inverse is

.

?

Yes, the inverse is

.

7. What is the solution of the matrix equation?

(5, 2)

(–1, 2)

(–3, 7)

(10, 4)

8. What is the solution of the matrix equation?

(–4, 15)

(–6, 4)

(4, 15)

(6, –4)

9.

What is the solution of matrix equation

X=

?

X=

X=

X=

X=

10. The 2 by 3 matrix provided is being used to solve a 2 by 2 system of linear equations.

Use row operations as necessary to solve the system of equations.

11. Calculate the product matrix for the following matrix multiplication.

?

12. The 2 by 3 matrix provided is being used to solve a 2 by 2 system of linear equations.

Use row operations as necessary to solve the system of equations.

13. Calculate the product matrix for the following matrix multiplication.

?

14. Find the resulting matrix from applying the indicated row operations.

15. Calculate the product matrix for the following matrix multiplication.

?

16. What is the solution of the matrix equation?

(–3, 4)

(10, 6)

(–4, 3)

(-2, 1)

17. Which matrix equation represents the system of equations?

18. Find the resulting matrix from applying the indicated row operations.

19. Calculate the product matrix for the following matrix multiplication.

?

20.

Which matrix equation has the solution X =

X=

X=

X=

?

X=

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