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1. |
Find the value of  |
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A. |
14 |
B. |
0 |
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C. |
-2 |
D. |
2 |
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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 0 -16] |
B. |
[4 16 14] |
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C. |
[4 0 -16] |
D. |
[24 16 14] |
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Hint |
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4. |
Determine which matrix has a determinant. |
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A. |
 |
B. |
 |
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C. |
[1 -4 -8] |
D. |
 |
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Hint |
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5. |
Evaluate  using diagonals. |
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A. |
21 |
B. |
37 |
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C. |
33 |
D. |
107 |
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Hint |
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6. |
Determine which matrix is the 3 × 3 identity matrix. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
Write the matrix equation  as a system of linear equations. |
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A. |
-2s + t = 12
5s + 8t = 7 |
B. |
-2s + 5t = 7
s + 8t = 12 |
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C. |
-2s + t = 7
5s + 8t = 12 |
D. |
-2s = 7
5t = 12 |
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Hint |
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8. |
What are the dimensions of matrix A if  |
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A. |
4 × 3 |
B. |
3 × 3 |
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C. |
4 × 4 |
D. |
3 × 4 |
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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. |
Which of the following properties does not hold for matrices? |
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A. |
commutative property of multiplication |
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B. |
associative property of multiplication |
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C. |
right distributive property |
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D. |
left distributive property |
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Hint |
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11. |
Suppose  has vertices A(3, 4), B(-2, 1) and C(2, –3). Dilate so that its perimeter is one-fourth the original perimeter. What are the coordinates of the vertices 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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12. |
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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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. |
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. |
(147, 87) |
B. |
(–147, –87) |
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C. |
(–1.79, 1.06) |
D. |
(1.79, 1.06) |
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Hint |
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15. |
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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16. |
Solve the system of equations 7x – 14y =4, 3x – 6y =17. |
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A. |
(3, –2) |
B. |
no unique solution |
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C. |
(2, 1) |
D. |
infinite solutions |
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Hint |
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