Suppose u, v are orthonormal vectors in R2 and A= uv uv. Compute A² = uv eigenvalues of A in terms of u, v. uuuv and find the

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
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4 Eigenvalues and Eigenvectors
(a) Suppose u, v are orthonormal vectors in R2 and A uvT. Compute A2 = uvuv and find the
eigenvalues of A in terms of u, v.
(b) If A=QDQ-¹, where A e Rnx, Q is the ai
aatrix and
mrix, diagonalize
Transcribed Image Text:4 Eigenvalues and Eigenvectors (a) Suppose u, v are orthonormal vectors in R2 and A uvT. Compute A2 = uvuv and find the eigenvalues of A in terms of u, v. (b) If A=QDQ-¹, where A e Rnx, Q is the ai aatrix and mrix, diagonalize
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