uppose A is a diagonali= . Would this be true if

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 55E
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Suppose A is a diagonalizable n x n matrix whose eigenvalues are all 1 or -1. Explain why A? must be equal to
In. Would this be true if A was not diagonalizable?
Transcribed Image Text:Suppose A is a diagonalizable n x n matrix whose eigenvalues are all 1 or -1. Explain why A? must be equal to In. Would this be true if A was not diagonalizable?
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