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1. |
Use Cramer's rule to solve the system of equations. 
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A. |
(0.4, 0.2) |
B. |
(0.2, 0.4) |
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C. |
(-0.4, -0.2) |
D. |
(0.011, 0.0055) |
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Hint |
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2. |
Which element is in row 3, column 1? |
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A. |
-1 |
B. |
9 |
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C. |
4 |
D. |
6 |
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Hint |
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3. |
Find  [6,3,-1]. |
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A. |
[3 3 -1] |
B. |
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C. |
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D. |
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Hint |
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4. |
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A. |
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B. |
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C. |
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D. |
[10 37] |
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Hint |
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5. |
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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6. |
For the determinant  , which is the minor of -4? |
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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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7. |
Find the inverse of  |
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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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8. |
Which of the following is an example of a column matrix? |
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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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9. |
Find A – B if  and  |
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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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10. |
State whether the product of A3 × 4 and B3 × 4 is defined, and if it is defined, state the dimensions. |
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A. |
defined, 9 × 16 |
B. |
undefined |
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C. |
defined, 3 × 4 |
D. |
defined, 4 × 3 |
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Hint |
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11. |
Which of the following is the correct rotation matrix for a rotation of 180°counterclockwise about the origin? |
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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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12. |
Evaluate  |
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A. |
–38 |
B. |
128 |
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C. |
38 |
D. |
–128 |
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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. |
(2, –1, 2) |
B. |
(2, 4, –2) |
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C. |
(1, 4, –3) |
D. |
(1, –1, 2) |
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Hint |
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14. |
In order for a matrix to have an inverse, what must be true? |
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A. |
ad – bc = 1 |
B. |
ad – bc = 0 |
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C. |
ad – bc  1 |
D. |
ad – bc 0 |
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Hint |
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15. |
In a sport similar to football, there are two ways to score: by the run or by the pass. Team A scored 244 points, while Team B scored 273 points. Team A scored by the pass 21 times, and by the run 11 times. Team B scored by the pass 27 times, and by the run 6 times. How many points is each score worth? |
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A. |
pass = 9 pointsrun = 5 points |
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B. |
pass = 7 pointsrun = 14 points |
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C. |
pass = 5 pointsrun = 9 points |
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D. |
pass = 5 pointsrun = 23 points |
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Hint |
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16. |
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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