a) Suppose that A e M, has only one distinct eigenvalue, say a, of algebraic multiplicity n. Prove that if A is diagonalizable then A is unitarily diagonalizable.
a) Suppose that A e M, has only one distinct eigenvalue, say a, of algebraic multiplicity n. Prove that if A is diagonalizable then A is unitarily diagonalizable.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
Problem 12RQ
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