T F If a 5 x 5 matrix has only 3 distinct eigenvalues, then A cannot be diagonalizable.
T F If a 5 x 5 matrix has only 3 distinct eigenvalues, then A cannot be diagonalizable.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
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Question
Select T if the statement is true (in all cases), or select F if false (for at least one example).
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Transcribed Image Text:T F If a 5 × 5 matrix has only 3 distinct eigenvalues, then A cannot be diagonalizable.
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