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I have attached the problems.

1. Write the augmented matrix for the given system:

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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:

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

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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