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Explain your answers for the questions regarding the given matrix A below. 0. -1 -1 A = 0. -1 -1 -1 (a) Is A symmetric? (b) Is A diagonolizable? (c) Find the eigenvalues of A. What are the dimensions of the corresponding eigenspaces?

Explain your answers for the questions regarding the given matrix A below. 0. -1 -1 A = 0. -1 -1 -1 (a) Is A symmetric? (b) Is A diagonolizable? (c) Find the eigenvalues of A. What are the dimensions of the corresponding eigenspaces?

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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Explain your answers for the questions regarding the given matrix A below. 1 -1 -1 A = -1 -1 1 -1 (a) Is A symmetric? (b) Is A diagonolizable? (c) Find the eigenvalues of A. What are the dimensions of the corresponding eigenspaces? (d) Is A orthogonal? (e) For the eigenvalues of A, are the corresponding eigenvectors orthogonal? (f) Is A orthogonally diagonalizable?
Transcribed Image Text:Explain your answers for the questions regarding the given matrix A below. 1 -1 -1 A = -1 -1 1 -1 (a) Is A symmetric? (b) Is A diagonolizable? (c) Find the eigenvalues of A. What are the dimensions of the corresponding eigenspaces? (d) Is A orthogonal? (e) For the eigenvalues of A, are the corresponding eigenvectors orthogonal? (f) Is A orthogonally diagonalizable?
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