In Exercises 1–2, perform each matrix row operation and write the...

Question

In Exercises 1–2, perform each matrix row operation and write the new matrix. <Image>

Accepted Answer

Welcome back. I'm so glad you're here. We're going to write a new matrix. After applying the mentioned row operations, I'm going to scroll down a little bit so we can see everything and so we're going to look at this matrix that we've got here. The first row is 1 to 13, 2nd rose to 111. And the third row is 4 to 68. And the labels look like this are sub one for row one, our sub two for row two and our sub three for row three. And we want to Take row three and we're going to divide everything in there by two and then add the result of that two, row two. So let's just think about that. What is row three divided by two? Well four divided by two is two, two divided by two is 16 divided by two is three and eight divided by two is four. And now that's going to get added to row two. So that means Rose one and three aren't going to change. We can copy those down 1213 and Rose three stays the same. 4268. Now let's just add our red numbers. The row three divided by two to row two, so two plus two is 41 plus one is two, three plus one is four, and four plus one is five. We look at our answer choices and that is going to match answer choice. C Well then we'll catch you on the next one