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A = 1 1 -1 SVD for A by following the steps: Compute the matrix M = ATA Find the characteristic polynomial, eigenvalues, and their algebraic multiplicities for M Find the singular values for A Determine an orthonormal eigenbasis for each eigenvalue of M Write down the matrix U. Remember U must be orthogonal. Determine the matrix V and the matrix E Check that A = UEVT.

A = 1 1 -1 SVD for A by following the steps: Compute the matrix M = ATA Find the characteristic polynomial, eigenvalues, and their algebraic multiplicities for M Find the singular values for A Determine an orthonormal eigenbasis for each eigenvalue of M Write down the matrix U. Remember U must be orthogonal. Determine the matrix V and the matrix E Check that A = UEVT.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A = 1 1 -1 vi) Determine the matrix V and the matrix vii Check that A = UEVT. L Find a SVD for A by following the steps: i) Compute the matrix M = ATA ii) Find the characteristic polynomial, eigenvalues, and their algebraic multiplicities for M iii) Find the singular values for A iv) Determine an orthonormal eigenbasis for each eigenvalue of M v) Write down the matrix U. Remember U must be orthogonal.
Transcribed Image Text:A = 1 1 -1 vi) Determine the matrix V and the matrix vii Check that A = UEVT. L Find a SVD for A by following the steps: i) Compute the matrix M = ATA ii) Find the characteristic polynomial, eigenvalues, and their algebraic multiplicities for M iii) Find the singular values for A iv) Determine an orthonormal eigenbasis for each eigenvalue of M v) Write down the matrix U. Remember U must be orthogonal.
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