Explain why the columns of an nxn matrix A are linearly independent when A is invertible.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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Explain why the columns of an nxn matrix A are linearly independent when A is invertible.

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