Let vị = -3 V2 = and v3 = 1 -1 be eigenvectors of the matrix A which correspond to the eigenvalues A1 -1, A2 = 1, and X3 = 3, respectively, and let -2 v = 4 -3 Express v as a linear combination of v1, V2, and v3, and find Av. v = Vi+ V2+ V3. Av =

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 vị =
-3
V2 =
and v3 =
1
-1
be eigenvectors of the matrix A which correspond to the eigenvalues A1
-1, A2 = 1, and X3 = 3, respectively, and let
-2
v =
4
-3
Express v as a linear combination of v1, V2, and v3, and find Av.
v =
Vi+
V2+
V3.
Av =
Transcribed Image Text:Let vị = -3 V2 = and v3 = 1 -1 be eigenvectors of the matrix A which correspond to the eigenvalues A1 -1, A2 = 1, and X3 = 3, respectively, and let -2 v = 4 -3 Express v as a linear combination of v1, V2, and v3, and find Av. v = Vi+ V2+ V3. Av =
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