In Exercises 33 - 36, write each matrix equation as a system of l...

Question

In Exercises 33 - 36, write each matrix equation as a system of linear equations without matrices.

Matrix equation for exercise 35 in college algebra, chapter on systems of equations.

Accepted Answer

express the following matrix equation as a system of equations. And we have this matrix right here. Now we're going to rewrite this to this system of equations to do this. We're going to multiply these two matrices on the left and set it equal to the matrix on the right. So we notice here we have 4 -20 X, Y. Z. So with multiplying matrices we're gonna multiply the first part of our row, our top row by the first part of our column. In this case we have four top row. That's gonna multiply the X. And the same for the next part negative. Two will multiply the Y and zero. All multiply. This is set equal to 10. Now we can do the same for our middle row. You have zero times x A six times away. Plus seven. Time to see equals four for our last one. We have zero times X. Eight times one Plus zero. Time to see that's equal tonight. We can rewrite this entire system of equations As four X -2. Y equals 10. Six, Y plus seven. Z equals four and eight. Y equals nine. If you look at our possible answers, we can tell that the answer to our problem is going to be answer. B. Alright, I hope to help you solve the problem. Thank you for watching. Goodbye

In Exercises 33 - 36, write each matrix equation as a system of linear equations without matrices.

Watch next