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1. |
Use Cramer's rule to find the value of x in the system of equations. 
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2. |
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3. |
Solve [3x 8y] = [-12 1] for x and y. |
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A. |
x = 4
y = 1 |
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B. |
x = -4
y = 8 |
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C. |
x = -12
y = 1 |
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D. |
x = -4
y =  |
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4. |
Find  |
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5. |
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. |
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6. |
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[10 37] |
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7. |
For the determinant  , which is the minor of -4? |
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8. |
What is the first step in solving the matrix equation
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A. |
Multiply each side of the matrix equation by  |
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B. |
Multiply each side of the matrix equation by the identity matrix. |
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C. |
Find the inverse of |
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D. |
Divide each side of the matrix equation by |
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Hint |
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9. |
Which of the following is an example of a column matrix? |
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10. |
Find the product of  |
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11. |
Find the coordinates of the vertices of the image of a triangle FGH with F(-4, 2), G(-3, -3), H(3,4) after it is rotated 270° counterclockwise about the origin. |
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A. |
F'(2, 4), G'(-3, 3),H'(4, -3) |
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B. |
F'(-2, 4), G'(3, 3),H'(-4, -3) |
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C. |
F'(2, -4), G'(-3, -3),H'(4, 3) |
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D. |
F'(4, 2), G'(3, -3),H'(-3, 4) |
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Hint |
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12. |
Find the value of the determinant of  |
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2 |
B. |
6 |
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C. |
–32 |
D. |
64 |
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Hint |
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13. |
Which method of finding solutions would work best to find the solutions to the system 12.4x – 3.66y = 12.19, 3.9x + 6.17y = 19.28, and why? |
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A. |
Cramer's Rule, because there are fewer calculations. |
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B. |
Cramer's Rule, because none of the other methods will correctly solve the problem |
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C. |
elimination, because 6.17 is a factor of 3.66 |
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D. |
elimination, because Cramer's Rule doesn't apply to this problem |
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Hint |
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14. |
In order for a matrix to have an inverse, what must be true? |
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ad – bc = 1 |
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ad – bc  0 |
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C. |
ad – bc 1 |
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ad – bc = 0 |
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Hint |
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15. |
What is the 4 × 4 identity matrix? |
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Hint |
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16. |
Solve the system of equations 7x – 14y =4, 3x – 6y =17. |
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A. |
(2, 1) |
B. |
no unique solution |
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C. |
infinite solutions |
D. |
(3, –2) |
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Hint |
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