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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. |
A(n) _____ is a transformation that occurs when a figure is moved from one location to another. |
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A. |
dilation |
B. |
translation |
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C. |
enlargement |
D. |
addition |
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Hint |
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3. |
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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4. |
Find 3 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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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, -3), B'(1, 1) |
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D. |
A'(-1, 1), B'(1, -3) |
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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. |
Given that the inverse of the coefficient matrix is , solve the matrix equation . |
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A. |
(2, 4) |
B. |
(4, 3) |
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C. |
(-4, 3) |
D. |
(-2, 3) |
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Hint |
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8. |
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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9. |
The matrix is an example of which of the following matrices? |
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A. |
all of the above |
B. |
column matrix |
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C. |
row matrix |
D. |
square matrix |
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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, 4 × 3 |
B. |
undefined |
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C. |
defined, 3 × 4 |
D. |
defined, 9 × 16 |
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Hint |
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11. |
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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12. |
Find the value of the determinant of  |
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A. |
–32 |
B. |
2 |
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C. |
6 |
D. |
64 |
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Hint |
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13. |
Evaluate  |
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A. |
–51 |
B. |
37 |
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C. |
–654 |
D. |
111 |
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Hint |
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14. |
Solve the system –2x – 4y = 7, 3x + 5y = 9. |
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A. |
 |
B. |
 |
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C. |
(71, –39) |
D. |
 |
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Hint |
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15. |
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. |
(–1.79, 1.06) |
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C. |
(147, 87) |
D. |
(1.79, 1.06) |
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Hint |
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16. |
Determine whether the pair of matrices are inverses. |
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A. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix. |
B. |
no, because fractions cannot be a part of an inverse |
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C. |
no, because A · B I |
D. |
yes, because A · B = I. |
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Hint |
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