| |
| |
1. |
Find 3 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Write the translation matrix for and its image |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Which product is not defined? |
| |
|
A. |
 |
| |
|
B. |
[11 4 -3] |
| |
|
C. |
 |
| |
|
D. |
[16 12 5] |
| |
|
Hint |
|
| |
4. |
Find the determinant of  |
| |
|
A. |
-21 |
B. |
0 |
| |
|
C. |
-16 |
D. |
-11 |
| |
|
Hint |
|
| |
5. |
What is the first step in solving the matrix equation
 |
| |
|
A. |
Multiply each side of the matrix equation by  |
| |
|
B. |
Multiply each side of the matrix equation by the identity matrix. |
| |
|
C. |
Divide each side of the matrix equation by  |
| |
|
D. |
Find the inverse of  |
| |
|
Hint |
|
| |
6. |
The matrix is an example of which of the following matrices? |
| |
|
A. |
column matrix |
B. |
row matrix |
| |
|
C. |
square matrix |
D. |
all of the above |
| |
|
Hint |
|
| |
7. |
Which of the following matrices is equal to  |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
8. |
Find A – B if and  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
Given that and use the fact that to find AB + AC. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
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? |
| |
|
A. |
H'(-4, 1), J'(3, -2), K'(-2, -6), L>'(4, 5) |
| |
|
B. |
H'(4, –1), J'(-3, 2), K'(2, 6), L'(-4, -5) |
| |
|
C. |
H'(-4, –1), J'(-3, -2), K'(-2, -6), L'(-4, -5) |
| |
|
D. |
H'(-4, –1), J'(3, 2), K'(-2, 6), L'(4, -5) |
| |
|
Hint |
|
| |
11. |
Evaluate  |
| |
|
A. |
38 |
B. |
–128 |
| |
|
C. |
–38 |
D. |
128 |
| |
|
Hint |
|
| |
12. |
Solve the system –2x – 4y = 7, 3x + 5y = 9. |
| |
|
A. |
 |
B. |
(71, –39) |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Solve the system 3x + 2y – z = –1, –2x + –3y + 2z = 5, 4x – y + 3z = 11. |
| |
|
A. |
(1, 4, –3) |
B. |
(1, –1, 2) |
| |
|
C. |
(2, 4, –2) |
D. |
(2, –1, 2) |
| |
|
Hint |
|
| |
14. |
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. |
no, because A · B I |
| |
|
D. |
yes, because A · B = I |
| |
|
Hint |
|
| |
15. |
In order for a matrix to have an inverse, what must be true? |
| |
|
A. |
ad – bc 1 |
B. |
ad – bc = 1 |
| |
|
C. |
ad – bc 0 |
D. |
ad – bc = 0 |
| |
|
Hint |
|
| |
16. |
Solve the system of equations 7x – 14y =4, 3x – 6y =17. |
| |
|
A. |
no unique solution |
B. |
(2, 1) |
| |
|
C. |
infinite solutions |
D. |
(3, –2) |
| |
|
Hint |
|
|
|