In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. A+D

Question

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason.  A+D

Accepted Answer

Welcome back. I'm so glad you're here. We've got two matrices A and B. And we are to perform the mentioned operation. Well, in this case it is A plus B. And we can designate A as red and be as blue. And what we're going to do to add these two matrices together is find the ones that are in the corresponding positions. So the upper left, we've got to And we're going to add the one in the upper left of B. -4. And now we can look back at A and we can look at the upper right of A. That's three. And we'll add the upper right of B, which is also three. Now we can look at the lower left of A. Which is eight and we can add the lower left of B which is one. And we can look at the lower right of A. Which is seven and we can add the lower right of B which is two. Now we just perform the addition. So two plus negative four. Well, that's negative 23 plus three is 68 plus one is nine and seven plus two is nine. We look at our answer choices and that matches with answer choice C. Well done, we'll catch you on the next one

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. A+D

Verified Solution

Key Concepts

Matrix Addition

Matrix Dimensions

Undefined Operations