# Solve

I have attached the problems.

1. Write the augmented matrix for the given system:

Answer

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2. Use the system in problem #1. Without interchanging any of the rows in the augmented matrix, what is the first value which will be replaced with zero when using the Gaussian Elimination method?

A.

-1

B.

1

C.

3

D.

5

3. Represent the given matrix with a system of equations in x, y, and z.

A.

B.

C.

D.

4. Use elementary row operations to write the matrix in echelon form:

A.

B.

C.

D.

5. Solve the system of equations by the Gaussian elimination method:

Answer

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6. Solve the system of equations by the Gaussian elimination method:

Answer

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7. When solving the following system of equations by the Gaussian elimination method,

which of the following is NOT a matrix leading to the solution?

A.

B.

C.

8. Given A = and B = , find A + B .

A.

B.

C.

D.

9. Given A = and B = , find A - B.

A.

B.

C.

D.

10. Given A = and B = , find A + B.

A.

B.

C.

D.

11. Given A = , find -3A.

A.

B.

C.

D.

12. Given A = and B = , find 2A - 3B.

A.

B.

C.

D.

13. Find the product:

A.

B.

Undefined

C.

D.

14. Find the product:

A.

B.

C.

D.

Undefined

15. When finding the product, how many pairs of numbers must be multiplied together?

A.

3

B.

9

C.

12

D.

27

16. For the product, what will be the element in row 3, column 1?

A.

8

B.

3

C.

0

D.

-4

17. Given these matrices and their dimensions: A3x2, B3x2, and C2x4 Which of the following can NOT be performed?

A.

A+B

B.

3C

C.

AxB

D.

AxC

18. FOR PROBLEMS 18 - 20 USE THESE MATRICES:

A = B =

________________________________________

Find A2,1

A.

1

B.

2

C.

3

D.

4

19. If C = AxB, the order of C is:

A.

1x3

B.

3x1

C.

3x3

D.

unable to determine

20. If C=AxB, find C2,1.

A.

37

B.

30

C.

23

D.

21