Let A be a 3 x 3 matrix with the following eigenvalues A1, A2, A3 and corresponding eigenvectors v1, V2, Vz: vi = (-1,0,0)", v2 = (1, 1, 1)", (0,0, 2)Т. d1 = 3 and d2 = 5 and A3 = 8 and V3 = Let v = (7,5, – 1)". Find the value of Av||.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
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Let A be a 3 x 3 matrix with the following eigenvaluesd1, 2, A3 and corresponding eigenvectors v1, V2, V3:
Vi = (-1,0,0)",
v2 = (1, 1, 1)",
- (0, 0, 2)Т.
= 3 and
A2 = 5 and
A3 = 8 and
V3 =
Let v =
(7,5, —1)т.
Find the value of Av.
Transcribed Image Text:Let A be a 3 x 3 matrix with the following eigenvaluesd1, 2, A3 and corresponding eigenvectors v1, V2, V3: Vi = (-1,0,0)", v2 = (1, 1, 1)", - (0, 0, 2)Т. = 3 and A2 = 5 and A3 = 8 and V3 = Let v = (7,5, —1)т. Find the value of Av.
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