| |
| |
1. |
Use Cramer's rule to find the value of x in the system of equations. 
|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
|
| |
|
Hint |
|
| |
2. |
Find  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Find A - B if  and  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Find the dimensions of A6 × 3 · B3 × 1. |
| |
|
A. |
6 × 3 |
B. |
3 × 1 |
| |
|
C. |
6 × 1 |
D. |
3 × 3 |
| |
|
Hint |
|
| |
5. |
Find  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
For the determinant  , which is the minor of -4? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Evaluate  using expansion by minors. |
| |
|
A. |
14 |
B. |
64 |
| |
|
C. |
68 |
D. |
80 |
| |
|
Hint |
|
| |
8. |
Write a matrix for the system of equations. 
|
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
Which of the following is an example of a column matrix? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Which of the following matrices is equal to  |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
11. |
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 |
|
| |
12. |
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. |
| |
|
A. |
A'(-4, -3),B'(3, 1),C'(7, -3),D'(-5, 2) |
| |
|
B. |
A'(3, 4),B'(-1, -3),C'(3, -7),D'(-2, 5) |
| |
|
C. |
A'(-3, 4),B'(1, -3),C'(-3, -7),D'(2, 5) |
| |
|
D. |
A'(-3, -4),B'(1, 3),C'(-3, 7),D'(2, -5) |
| |
|
Hint |
|
| |
13. |
Solve the system –2x – 4y = 7, 3x + 5y = 9. |
| |
|
A. |
(71, –39) |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Determine whether the pair of matrices  are inverses. |
| |
|
A. |
no, because A · B  I |
| |
|
B. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix |
| |
|
C. |
yes, because A · B = I |
| |
|
D. |
no, because fractions cannot be a part of an inverse |
| |
|
Hint |
|
| |
15. |
What is the 4 × 4 identity matrix? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
In a sport similar to football, there are two ways to score: by the run or by the pass. Team A scored 244 points, while Team B scored 273 points. Team A scored by the pass 21 times, and by the run 11 times. Team B scored by the pass 27 times, and by the run 6 times. How many points is each score worth? |
| |
|
A. |
pass = 5 pointsrun = 23 points |
| |
|
B. |
pass = 5 pointsrun = 9 points |
| |
|
C. |
pass = 9 pointsrun = 5 points |
| |
|
D. |
pass = 7 pointsrun = 14 points |
| |
|
Hint |
|
|
|