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
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Chapter4: Eigenvalues And Eigenvectors
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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.
Transcribed Image Text: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.
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