Let -31 -3 , U2 = , v3 be eigenvectors of the matrix A which correspond to the eigenvalues A1 = -4, X2 = 1, and A3 = 4, respectively, and let 8. -10 Express i as a linear combination of v1, v2, and v3, and find Aã. Aa = || 18

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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Let
-31
, V2
2
, V3
be eigenvectors of the matrix A which correspond to the eigenvalues A1 = -4, A2 = 1, and
A3 = 4, respectively, and let
-10
Express i as a linear combination of v1, v2, and v3, and find Ai.
V3.
Ax =
Transcribed Image Text:Let -31 , V2 2 , V3 be eigenvectors of the matrix A which correspond to the eigenvalues A1 = -4, A2 = 1, and A3 = 4, respectively, and let -10 Express i as a linear combination of v1, v2, and v3, and find Ai. V3. Ax =
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