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1. |
Use Cramer's rule to find the value of n in the system of equations. 

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A. |
-22 |
B. |
 |
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C. |
 |
D. |
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Hint |
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2. |
Solve [3x 8y] = [-12 1] for x and y. |
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A. |
x = -12 y = 1 |
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B. |
x = -4 y =  |
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C. |
x = 4 y = 1 |
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D. |
x = -4 y = 8 |
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Hint |
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3. |
Solve . |
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A. |
(-2, -8) |
B. |
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C. |
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D. |
(2, 8) |
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Hint |
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4. |
Find  |
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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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5. |
Find C + D if C = [14 8 -1] and D = [-10 8 15]. |
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A. |
[4 16 14] |
B. |
[24 0 -16] |
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C. |
[24 16 14] |
D. |
[4 0 -16] |
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Hint |
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6. |
Triangle PQR with vertices P(-8, 9), Q(-3, -1), and R(2, 5) is translated so that P' is at (-12, 0). Find the translation 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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7. |
Which product is not defined? |
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A. |
[11 4 -3] |
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B. |
[16 12 5] |
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C. |
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D. |
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Hint |
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8. |
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, 1), B'(-1, -3) |
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C. |
A'(1, -3), B'(1, 1) |
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D. |
A'(-1, -3), B'(1, 1) |
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Hint |
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9. |
Evaluate using expansion by minors. |
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A. |
68 |
B. |
14 |
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C. |
80 |
D. |
64 |
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Hint |
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10. |
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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11. |
Solve using inverse matrices. |
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A. |
(4, -4) |
B. |
(-4, 4) |
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C. |
(-4, 0) |
D. |
(4, 4) |
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Hint |
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12. |
Find the product 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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13. |
Evaluate  |
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A. |
–38 |
B. |
38 |
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C. |
128 |
D. |
–128 |
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Hint |
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14. |
Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
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A. |
(1.79, 1.06) |
B. |
(–1.79, 1.06) |
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C. |
(–147, –87) |
D. |
(147, 87) |
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Hint |
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15. |
Determine whether the pair of matrices are inverses. |
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A. |
yes, because A · B = I. |
B. |
no, because A · B I |
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C. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix. |
D. |
no, because fractions cannot be a part of an inverse |
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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. |
(3, –2) |
D. |
infinite solutions |
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Hint |
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