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Each equation in Exercises $1-4$ illustrates a property of determinants. State the property.$$\left|\begin{array}{rrr}{3} & {-6} & {9} \\ {3} & {5} & {-5} \\ {1} & {3} & {3}\end{array}\right|=3\left|\begin{array}{rrr}{1} & {-2} & {3} \\ {3} & {5} & {-5} \\ {1} & {3} & {3}\end{array}\right|$$

If the only difference between matrix $M$ and matrix $N$ is that one row of matrix $M$ is $k$ times that of the same row in matrix $N,$ then $\operatorname{det}(M)=k \operatorname{det}(N) .$

Algebra

Chapter 3

Determinants

Section 2

Properties of Determinants

Introduction to Matrices

Campbell University

Oregon State University

University of Michigan - Ann Arbor

Lectures

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In mathematics, the absolu…

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Each equation in Exercises…

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The following exercises in…

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Determine whether each sta…

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In Exercises 41–42, evalua…

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PROPERTIES OF DETERMINANTS…

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Find the determinants in E…

All right, So in this question, we're talking about how doing elementary operations to in Matrix will change the terminate of sad matrix. So let's let matrix b the attainment from a major say, by a one single elementary row operation. I will let for a convention. Be on. May I be the I throw of each matrix and in this case, we're just focusing on the row multiplication by a constant. So if we have, let's say the I equals a constant C times a I. What this implies is that the determinant of be just equals, see the same constant times, the determinant of a and that's it.

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Each equation in Exercises $1-4$ illustrates a property of determinants. Sta…

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