(c) Conclude that T is orthogonally diagonalizable.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 29EQ
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Just part (c) please!

Transcribed Image Text:Suppose T C → C" is self-adjoint and linear.
(a) Prove that T has at least one real eigenvalue.
(b) Suppose v is an eigenvector for T. Prove that W = span(v) is T-invariant.
(c) Conclude that T is orthogonally diagonalizable.
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