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1. |
Which element is in row 3, column 1? |
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A. |
9 |
B. |
6 |
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C. |
4 |
D. |
-1 |
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Hint |
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2. |
Find A - B if and  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Find C + D if C = [14 8 -1] and D = [-10 8 15]. |
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A. |
[24 16 14] |
B. |
[4 16 14] |
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C. |
[4 0 -16] |
D. |
[24 0 -16] |
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Hint |
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4. |
Write the translation matrix for and its image |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
For the determinant , which is the minor of -4? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Solve using inverse matrices. |
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A. |
(-4, 4) |
B. |
(-4, 0) |
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C. |
(4, -4) |
D. |
(4, 4) |
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Hint |
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7. |
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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8. |
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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9. |
Which of the following is true concerning matrix multiplication of three matrices A, B, and C? |
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A. |
AB = BA for no cases |
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B. |
(A + B)C = CA + CB |
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C. |
AB = BA for all cases |
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D. |
C(A + B) = CA + CB |
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Hint |
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10. |
What are the coordinates of the vertices of the image of rectangle HJKL with H(4, 1), J(-3, -2), K(2, -6), and L(-4, 5) after a reflection across the x-axis? |
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A. |
H'(-4, –1), J'(-3, -2), K'(-2, -6), L'(-4, -5) |
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B. |
H'(-4, 1), J'(3, -2), K'(-2, -6), L>'(4, 5) |
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C. |
H'(-4, –1), J'(3, 2), K'(-2, 6), L'(4, -5) |
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D. |
H'(4, –1), J'(-3, 2), K'(2, 6), L'(-4, -5) |
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Hint |
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11. |
Evaluate  |
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A. |
111 |
B. |
–51 |
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C. |
37 |
D. |
–654 |
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Hint |
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12. |
Which of the following cannot be true concerning Cramer's Rule for two variables? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Solve 2.4x + 1.7y = 8.2, 3.8x – 0.8y = 5.3. Round to the nearest hundredth. |
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A. |
(1.86, –2.20) |
B. |
(1.86, 2.20) |
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C. |
(–1.86, –2.20) |
D. |
(–1.86, 2.20) |
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Hint |
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14. |
What is the 4 × 4 identity matrix? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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15. |
Find the inverse of if it exists. |
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A. |
 |
B. |
 |
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C. |
does not exist, since ad – bc = 0 |
D. |
 |
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Hint |
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16. |
Solve the system of equations4x – 2y = 2, –3x + 7y = –29 |
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A. |
no solution |
B. |
(2, –5) |
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C. |
(–2, 5) |
D. |
(–2, –5) |
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Hint |
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