Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Could you explain how to show this in detail? It is from the book "Linear algebra done right" by Axler

Suppose P = L(V) is such that P² = P. Prove that there is a subspace U of V such that P Pu if and only if P is self-adjoint. =
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Transcribed Image Text:Suppose P = L(V) is such that P² = P. Prove that there is a subspace U of V such that P Pu if and only if P is self-adjoint. =
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