The symmetric matrix A below has eigenvalues −2 and 1 (multiplicity 2). Find an orthonormal basis B of R³ consisting of eigenvectors of A.Use the square root symbol '' where needed to give an exact value for your answer. 0 -1 -1 A = -1 0 -1 -1 -1 0 B = 0 0 0 0 0 0 0 0 0

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
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The symmetric matrix A below has eigenvalues −2 and 1 (multiplicity 2). Find
an orthonormal basis B of R³ consisting of eigenvectors of A.Use the square
root symbol '' where needed to give an exact value for your answer.
0 -1 -1
A = -1 0 -1
-1 -1 0
B
=
0
0
0
0
0
0
0
0
0
Transcribed Image Text:The symmetric matrix A below has eigenvalues −2 and 1 (multiplicity 2). Find an orthonormal basis B of R³ consisting of eigenvectors of A.Use the square root symbol '' where needed to give an exact value for your answer. 0 -1 -1 A = -1 0 -1 -1 -1 0 B = 0 0 0 0 0 0 0 0 0
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