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1. |
Find the value of  |
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A. |
0 |
B. |
2 |
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C. |
14 |
D. |
-2 |
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Hint |
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2. |
What is the value of the determinant? |
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 |
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A. |
-3 |
B. |
12 |
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C. |
-12 |
D. |
-8 |
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Hint |
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3. |
Use Cramer's rule to find the value of n in the system of equations. 

|
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A. |
 |
B. |
 |
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C. |
-22 |
D. |
 |
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Hint |
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4. |
 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
[10 37] |
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Hint |
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6. |
The product gives the coordinates of two points on line AB that has been rotated 90° counterclockwise about the origin. Name the coordinates of A' and B'. |
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A. |
A'(-1, 1), B'(1, -3) |
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B. |
A'(1, -3), B'(1, 1) |
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C. |
A'(1, 1), B'(-1, -3) |
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D. |
A'(-1, -3), B'(1, 1) |
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Hint |
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7. |
Determine which matrix has a determinant. |
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A. |
 |
B. |
[1 -4 -8] |
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C. |
 |
D. |
 |
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Hint |
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8. |
If , find N -1. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Which of the following is an example of a column matrix? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Solve  |
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A. |
(1, –2) |
B. |
(–2, 1) |
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C. |
(2, –1) |
D. |
(–1, 2) |
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Hint |
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11. |
If and find 4A – 5B. |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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12. |
What translation matrix should be used to translate a figure with five vertices up 3 units and right 2 units? |
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A. |
 |
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B. |
 |
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C. |
 |
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D. |
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Hint |
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13. |
Solve the system 3x + 2y – z = –1, –2x + –3y + 2z = 5, 4x – y + 3z = 11. |
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A. |
(1, –1, 2) |
B. |
(2, –1, 2) |
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C. |
(2, 4, –2) |
D. |
(1, 4, –3) |
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Hint |
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14. |
Find the inverse of if it exists. |
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A. |
 |
B. |
does not exist, since ad – bc = 0 |
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C. |
 |
D. |
 |
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Hint |
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15. |
Which of the following is a matrix equation for the system 5x – 3y =11, –3x + 2y = 7? |
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A. |
 |
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B. |
 |
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C. |
 |
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D. |
 |
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Hint |
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16. |
Solve the system of equations 7x – 14y =4, 3x – 6y =17. |
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A. |
(2, 1) |
B. |
no unique solution |
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C. |
infinite solutions |
D. |
(3, –2) |
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Hint |
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