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Consider each matrix in Exercises 5 and 6 as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system.$$\left[\begin{array}{rrrrr}{1} & {-4} & {5} & {0} & {7} \\ {0} & {1} & {-3} & {0} & {6} \\ {0} & {0} & {1} & {0} & {2} \\ {0} & {0} & {0} & {1} & {-5}\end{array}\right]$$

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Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 1

Systems of Linear Equations

Introduction to Matrices

Yuxin Z.

May 20, 2021

Why not change 5 into 0 in the first row?

Missouri State University

McMaster University

Harvey Mudd College

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So for this problem, we're just asked to show what the next to grow operations would be in solving this system. So as we can see, this is some is already in the form of a triangular matrix. And so that means that we already have ah, the left hand side with one's on the diagonal and zeros underneath it. So the next thing that we would do is just start canceling the things in the top and turning those into zeros as well. And so the 1st 1 that we might address is this one and negative four. And so we can first operation that we could do is Ro want equals ro one plus four row to And that would cancel out that first negative for. And the next thing that we might do is just this negative three right next to it. And so we would do that by doing road to equal throw two plus three Row three

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