40 0 0 0 has eigenvalues 40 and -40 where it is known that a basis 0 40. for the eigenspace associated with the eigenvalue 40 is {(1,1,0), (1,1,1)}. Then, a matrix P that = (40 The symmetric matrix A = orthogonally diagonalizes A has the form a 0 с b √2 where possible values for a, b, c, correspond to?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 65E
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40
0
0
0 has eigenvalues 40 and -40 where it is known that a basis
0
40.
for the eigenspace associated with the eigenvalue 40 is {(1,1,0), (1,1,1)}. Then, a matrix P that
= (40
The symmetric matrix A =
orthogonally diagonalizes A has the form
a
0
с
b
√2
where possible values for a, b, c, correspond to?
Transcribed Image Text:40 0 0 0 has eigenvalues 40 and -40 where it is known that a basis 0 40. for the eigenspace associated with the eigenvalue 40 is {(1,1,0), (1,1,1)}. Then, a matrix P that = (40 The symmetric matrix A = orthogonally diagonalizes A has the form a 0 с b √2 where possible values for a, b, c, correspond to?
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