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In Exercises 31–36, mention an appropriate theorem in your explanation.Find a formula for $\operatorname{det}(r A)$ when $A$ is an $n \times n$ matrix.

$\operatorname{det}(r A)=r^{n} \cdot \operatorname{det}(A)$

Algebra

Chapter 3

Determinants

Section 2

Properties of Determinants

Introduction to Matrices

Baylor University

Idaho State University

Lectures

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okay. In this question, we want to find a formula for determined off are a for a is a n by N matrix. So here I present a very general in buying matrix off, eh? Now, when we put our A, we have this is equal to, uh, a 11 a 12 a one in Are and then our A to one are a 22 but are a two in are a one r A and two other books are A and plus So what we have is we have a are in every single road that we can factor out now every time affected out, always pulling here now there are in roads that we can check it out. So it's actually going to meet art. Then it's internment. Oh, hey. He was just, uh to the end. Has a tournament all day

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