True or false 1. Every invertible matrix is diagonalizable 2. If a 3 × 3 matrix A is diagonalizable, then A has 3 distinct eigenvalues. 3. If two square matrices A and B have the same eigenvalues, then they are similar.
True or false 1. Every invertible matrix is diagonalizable 2. If a 3 × 3 matrix A is diagonalizable, then A has 3 distinct eigenvalues. 3. If two square matrices A and B have the same eigenvalues, then they are similar.
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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True or false
1. Every invertible matrix is diagonalizable
2. If a 3 × 3 matrix A is diagonalizable, then A has 3 distinct eigenvalues.
3. If two square matrices A and B have the same eigenvalues, then they are similar.
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