| |
| |
1. |
A(n) _____ is a transformation that occurs when a figure is moved from one location to another. |
| |
|
A. |
dilation |
B. |
translation |
| |
|
C. |
addition |
D. |
enlargement |
| |
|
Hint |
|
| |
2. |
Find  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
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. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Which product is not defined? |
| |
|
A. |
[11 4 -3] |
| |
|
B. |
 |
| |
|
C. |
[16 12 5] |
| |
|
D. |
 |
| |
|
Hint |
|
| |
5. |
For the determinant , which is the minor of -4? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Evaluate using diagonals. |
| |
|
A. |
37 |
B. |
33 |
| |
|
C. |
107 |
D. |
21 |
| |
|
Hint |
|
| |
7. |
Determine which matrix is the 3 × 3 identity matrix. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Write the matrix equation as a system of linear equations. |
| |
|
A. |
-2s + t = 12 5s + 8t = 7 |
B. |
-2s + t = 7 5s + 8t = 12 |
| |
|
C. |
-2s + 5t = 7 s + 8t = 12 |
D. |
-2s = 7 5t = 12 |
| |
|
Hint |
|
| |
9. |
Solve using inverse matrices. |
| |
|
A. |
(4, 4) |
B. |
(-4, 4) |
| |
|
C. |
(4, -4) |
D. |
(-4, 0) |
| |
|
Hint |
|
| |
10. |
What are the dimensions of matrix A if  |
| |
|
A. |
4 × 4 |
B. |
4 × 3 |
| |
|
C. |
3 × 4 |
D. |
3 × 3 |
| |
|
Hint |
|
| |
11. |
What is always true of an n × n matrix? |
| |
|
A. |
It is a row matrix. |
B. |
It has at least two rows and two columns. |
| |
|
C. |
It is a square matrix. |
D. |
It is a column matrix. |
| |
|
Hint |
|
| |
12. |
Find A – B if and  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Given that and use the fact that to find AB + AC. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Solve the system –2x – 4y = 7, 3x + 5y = 9. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
(71, –39) |
D. |
 |
| |
|
Hint |
|
| |
15. |
Which of the following cannot be true concerning Cramer's Rule for two variables? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
Determine whether the pair of matrices are inverses. |
| |
|
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 |
| |
|
C. |
yes, because A · B = I |
| |
|
D. |
no, because A · B I |
| |
|
Hint |
|
|
|