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Let A be a 3x3 diagonalizable matrix with eigenvalues: A = 0 with corresponding G). eigenvectors v, = and vz = d2 = 3 with corresponding eigenvector vz =1). Then P'AP = D with None of these [-1 P = 1] 0 and 11 1 1 ГО D=|0 Lo 01 3 3 the above P and D 1 0] 1 and -1 P =| 0 1 1 [0 D=0 01 Lo 3]

Let A be a 3x3 diagonalizable matrix with eigenvalues: A = 0 with corresponding G). eigenvectors v, = and vz = d2 = 3 with corresponding eigenvector vz =1). Then P'AP = D with None of these [-1 P = 1] 0 and 11 1 1 ГО D=|0 Lo 01 3 3 the above P and D 1 0] 1 and -1 P =| 0 1 1 [0 D=0 01 Lo 3]

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 11AEXP
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Let A be a 3x3 diagonalizable matrix with eigenvalues: 2, = 0 with corresponding eigenvectors v, = and v2 = ,d2 = 3 with corresponding eigenvector vz = Then P-'AP = D with None of these -1 1] 0| and 1. P = 1 1 [0 D=|0 Lo 01 3 3. the above P and D 01 1 and -1 1 P =| 0 1 1 [0 01 D=|0 3.
Transcribed Image Text:Let A be a 3x3 diagonalizable matrix with eigenvalues: 2, = 0 with corresponding eigenvectors v, = and v2 = ,d2 = 3 with corresponding eigenvector vz = Then P-'AP = D with None of these -1 1] 0| and 1. P = 1 1 [0 D=|0 Lo 01 3 3. the above P and D 01 1 and -1 1 P =| 0 1 1 [0 01 D=|0 3.
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