[4 2 2 Let A = 2 4 2 2 2 4 which has characteristic polynomial c(x) = (2 – x)²(8 – x). Does there exist an orthonormal basis (under the standard inner product on R°) of eigenvectors of A for R°? If so, - find such a basis. If not, explain why not.
[4 2 2 Let A = 2 4 2 2 2 4 which has characteristic polynomial c(x) = (2 – x)²(8 – x). Does there exist an orthonormal basis (under the standard inner product on R°) of eigenvectors of A for R°? If so, - find such a basis. If not, explain why not.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 28EQ
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