Prove that every nonzero vector 0 v Rn is an eigenvector of A if and

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Prove that every nonzero vector 0 ≠ v ∈ Rn is an eigenvector of A if and only if A is a scalar multiple of the identity matrix.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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