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Suppose U is a finite-dimensional real vector space and T = L(U). Prove that U has a basis consisting...

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Suppose U is a finite-dimensional real vector space and T = L(U). Prove that U has a basis consisting of eigenvectors of T if and only if there is an inner product on U that makes 7' into a self-adjoint operator.

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proof Assume that U has e ex ez consisting of T then define product on u by bie t View the full answer


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Algebra Graduate Texts In Mathematics 73

Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Details
Chapter # 5- Fields and Galois Theory
Section: Exercises 5.3
Problem: 16
Posted Date: September 14, 2023 02:19:02
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