Explain why each of the following matrices A is unitarily diagonalizable, without unitarily diagonalizing A. Then, find a unitary matrix P and diagonal matrix D such that D = P-lAP. 1 (a) A = 1 1 -1 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
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2. Explain why each of the following matrices A is unitarily diagonalizable, without unitarily diagonalizing
A. Then, find a unitary matrix P and diagonal matrix D such that D = P-1AP.
1
(а) А -
1
1
-1
1
1 0 1
1 1
(b) А —
1
1
Transcribed Image Text:2. Explain why each of the following matrices A is unitarily diagonalizable, without unitarily diagonalizing A. Then, find a unitary matrix P and diagonal matrix D such that D = P-1AP. 1 (а) А - 1 1 -1 1 1 0 1 1 1 (b) А — 1 1
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