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1. |
Which element is in row 3, column 1? |
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A. |
-1 |
B. |
9 |
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C. |
6 |
D. |
4 |
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Hint |
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2. |
 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Find  [6,3,-1]. |
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A. |
 |
B. |
 |
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C. |
[3 3 -1] |
D. |
 |
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Hint |
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4. |
Solve  . |
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A. |
 |
B. |
(2, 8) |
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C. |
(-2, -8) |
D. |
 |
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Hint |
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5. |
Evaluate  using diagonals. |
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A. |
33 |
B. |
21 |
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C. |
37 |
D. |
107 |
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Hint |
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6. |
Write the matrix equation  as a system of linear equations. |
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A. |
-2s + 5t = 7
s + 8t = 12 |
B. |
-2s + t = 12
5s + 8t = 7 |
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C. |
-2s = 7
5t = 12 |
D. |
-2s + t = 7
5s + 8t = 12 |
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Hint |
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7. |
Solve  using inverse matrices. |
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A. |
(-4, 0) |
B. |
(4, 4) |
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C. |
(-4, 4) |
D. |
(4, -4) |
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Hint |
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8. |
Given that   and  use the fact that  to find AB + AC. |
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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 properties does not hold for matrices? |
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A. |
associative property of multiplication |
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B. |
commutative property of multiplication |
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C. |
left distributive property |
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D. |
right distributive property |
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Hint |
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10. |
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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11. |
Find the coordinates of the vertices of the image of a rectangle ABCD with A(4, -3), B(-3, 1), C(-7, -3), and D(5, 2) after a reflection across the line y = x. |
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A. |
A'(3, 4),B'(-1, -3),C'(3, -7),D'(-2, 5) |
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B. |
A'(-3, -4),B'(1, 3),C'(-3, 7),D'(2, -5) |
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C. |
A'(-4, -3),B'(3, 1),C'(7, -3),D'(-5, 2) |
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D. |
A'(-3, 4),B'(1, -3),C'(-3, -7),D'(2, 5) |
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Hint |
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12. |
Find the area of a triangle whose vertices are located at (-3, 2), (0, -5), and (4, 4). |
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A. |
55 |
B. |
1 |
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C. |
 |
D. |
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Hint |
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13. |
Solve the system –2x – 4y = 7, 3x + 5y = 9. |
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A. |
 |
B. |
(71, –39) |
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C. |
 |
D. |
 |
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Hint |
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14. |
Vince and Brian each need two kinds of items at the store. Vince bought 10 of item A and 14 of item B, and spent $97. Brian bought 8 of item A and 25 of item B, and spent $119. How much did each item cost? |
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A. |
item A = $1.14
item B = $2.10 |
B. |
item A = $3
item B = $5.50 |
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C. |
item A = $2.10
item B = $1.14 |
D. |
item A = $5.50
item B = $3 |
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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. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix. |
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C. |
no, because A · B  I |
D. |
no, because fractions cannot be a part of an inverse |
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Hint |
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16. |
In order for a matrix to have an inverse, what must be true? |
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A. |
ad – bc = 0 |
B. |
ad – bc 1 |
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C. |
ad – bc = 1 |
D. |
ad – bc 0 |
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Hint |
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