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In Exercises $19-22$ , determine the value(s) of $h$ such that the matrix is the augmented matrix of a consistent linear system.$$\left[\begin{array}{lll}{1} & {h} & {4} \\ {3} & {6} & {8}\end{array}\right]$$

matrix is consistent as long as $h \neq 2$

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 1

Systems of Linear Equations

Introduction to Matrices

Ray M.

February 20, 2021

how did you get the (8-4h)?

Marc S.

March 14, 2021

I second Ray M.'s comment.

Dk B.

December 7, 2021

I am noticing Samantha L. is not explaining properly, just jumping at answers.

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

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So in this problem were asked to find the value of each that would make the system consistent. And so they do this. It's really more about finding what values would make it inconsistent. And so the first thing that we're going to do to do that is started as though we were going to solve this system. So we're gonna so you can fill out about zero that three to get a zero in the left hand corner. And when we do that, we get this new matrix here. And what would make this inconsistent is if this right hand lower term eight minus four h was equal to zero. And so, in order the check for that, we're going to say that H minus four h cannot be equal to zero. This will give us everything that's consistent. And so when we saw that we get that four h equals eight and that H equals two, or in this case, H cannot possibly be, too. In order for the system to be consistent. If H is anything I've ever been to, we won't get a zero there, and it will be consistent

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