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In Exercises $19-24,$ explore the effect of an elementary row operation on the determinant of a matrix. In each case, state the row operation and describe how it affects the determinant.$$\left[\begin{array}{ll}{3} & {2} \\ {5} & {4}\end{array}\right],\left[\begin{array}{cc}{3} & {2} \\ {5+3 k} & {4+2 k}\end{array}\right]$$

row replacement no effect

Algebra

Chapter 3

Determinants

Section 1

Introduction to Determinants

Introduction to Matrices

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In mathematics, the absolu…

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So we want to find that Expect effect off, right. Operations on determinants on matrices. So first off to know, to see how we go from the first Matrix, the second matrix it's simply row one k times everyone plus wrote you and we make that road too. So now taking their determined off the first matrix we get three times by four minus five times by two, which is told minus 10. So that gives you two. Now for the second matrix. For the second matrix, we get three times. Wife four plus two K minus, two times five plus three k. Okay, so this is eagle to 12 plus six K minus 10 plus six K. Now this six k and this six cancels out leaving, you told, minus 10. Which gives you two. We just same as our original answer.

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