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1. Solve: | 2x 3 3z | = | 8 3y 9 |
a.|4 1 3|
b.|3 1 4|
c.|16x 9y 27z|
d.xyz=20
2. Give the dimensions of the following matrix: | 2 3 4 |, | 1 -1 2|
a. 6
b. 3 x 2
c. 2 x 3
d. 1 x 4
3. Solve using inverse matrix method: 5x -3y=19, 7x + 2y=8
a. |-2 3|
b. |2 3|
c. |2 -3|
d. |3 -2|
4. Solve: | 4x | = |15+x|, | 5 | |2y - 1|
a. | -2 5|
b. |-3 -4|
c. | 3 4|
d. |5 3|
5. Solve: |4x 3y| = |-12 15|
a. |2 6|
b. |3.75 -4|
c. | 3 -5|
d. |-3 5|
6. Find the value of the determinant: |1 -5|, |3 4|
a. -19
b. -11
c. 19
d. 17
7. Find the value of the determinant: |2 -3|, |-3 -2|
a. 13
b. -13
c. -5
d. 5
8. Solve using the inverse matrix method.
2a + b + c = -6
a - 2b + c = 8
-a - 3b + 2c = 14
a. |-.8 -4.4 0|
b. no solution
c. | 0 2 4 |
d. | 0 -2 -4 |
9. Use the inverse matrix method to solve:
x + 2y -z = 10
-2x + 3y + z = 6
3x -2y + 2z =-19
a. |1 -3 5|
b. |-1 3 -5|
c. no solution
d. |1 3 5|