Use the matrices to find DE, if possible.

Name: Use the matrices to find DE, if possible.
Brand: Quizplus
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Question

Use the matrices to find DE, if possible. ​
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Quizplus · Accepted Answer

We can use the formula DE = BA - CD, where A, B, C, D are the matrices given.

DE =

| 2  1  5 |   | 1 -1  3 |   | 4 -1 |
| 3 -4  0 | - | 2  2 -1 | * |-1  2 |

=

| (2*1 + 1*2 + 5*(-1))  (-2 -1 -3)   (2*3 + 1*(-1) + 5*2) |
| (3*1 - 4*2 + 0*(-1))  (-3 -8  2)   (3*3 - 4*(-1) + 0*2) |

=

| -2 -6 13 |
| -5 -9 13 |

Therefore, the correct choice is C.

Use the Matrices to Find DE, If Possible