, a matrix and a scalar are given. Show that is an eigenvalue of the matrix and determine a basis for its eigenspace. 17. -2 -5 2 43 ☐ 7 -2 λ = 3 -3 -3 5

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 16EQ
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,
a matrix and a scalar
are given. Show
that is an eigenvalue of the matrix and determine a basis for
its eigenspace.
17.
-2
-5
2
43
☐
7
-2
λ = 3
-3 -3
5
Transcribed Image Text:, a matrix and a scalar are given. Show that is an eigenvalue of the matrix and determine a basis for its eigenspace. 17. -2 -5 2 43 ☐ 7 -2 λ = 3 -3 -3 5
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