In Exercises 14–27, perform the indicated matrix operations given...

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. <Image> D-A

Accepted Answer

Welcome back. I'm so glad you're here. We've got two matrices, P and Q. More to perform the indicated operation, which is right here, Find P plus Q. So I'll rewrite P a little bit P and Q a little bit bigger for P. We've got two rows, we've got three negative one, negative two in the first row, the negative +53 and eight in the second row. And for Q we've got three rows. The first row has 94. The second row has negative 27. The third row has one negative three. And when we add matrices together, we're going to match the corresponding row and column positions. So in this first row of P, the first term is three and we find the first row of Q and it's matching term in the first position. So nine plus three would give us 12 and then we'd continue on in the first row of P. The second position is negative one and that first row of Q. The second position is four, so that will give us three and then we continue with the third position in the first row of P which is negative two. And the third position in the first row of Q doesn't exist. So that means that we cannot perform this operation addition is not possible when you have two matrices and you're going to add them together, they have to have the same number of rows and columns. These don't, so we go with answer choice D while done, we'll catch you on the next one