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Find the determinants in Exercises $15-20,$ where$$\left|\begin{array}{ccc}{a} & {b} & {c} \\ {d} & {e} & {f} \\ {g} & {h} & {i}\end{array}\right|=7$$$$\left[\begin{array}{ccc}{a+d} & {b+e} & {c+f} \\ {d} & {e} & {f} \\ {g} & {h} & {i}\end{array}\right]$$

7

Algebra

Chapter 3

Determinants

Section 2

Properties of Determinants

Introduction to Matrices

Salman B.

January 19, 2022

Please make it correct we're using properties of determinants here, mention the row operation property number 1. According to that property R1-R2 to make it the default matrix which is equal to 7

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were given a matrix and a determinant of the Matrix and were asked to find the determinant of the Matrix. So the Matrix forgiven is a plus D B plus e c plus f e f g h i. And we're told that the determinant of the matrix a B C D e f g h i is seven. Well, we see that we have added a multiple of road to two row one. And so a determining property says that this is actually the same as the determinant of the matrix a the see e f g h I. And in fact, we were told that this has a determinant of seven and this is our answer.

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