Prove Theorem 4.7. If A is an n n matrix, then det(kA) = k n det

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Prove Theorem 4.7.

If A is an n × n matrix, then

det(kA) = kⁿ det A

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Linear Algebra A Modern Introduction

ISBN: 978-0538735452

3rd edition

Authors: David Poole

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Question Posted: Nov 13, 2018 06:07 AM

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Prove Theorem 4.7. If A is an n n matrix, then det(kA) = k n det

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To prove Theorem 47 we need to show if B kA then det B k n det A We will begin by proving ...View the full answer

Linear Algebra A Modern Introduction

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