We wish to solve the system [1 x+ [sin(t)]. 6 via eigenvector decomposition. 1 Let 7₁ be an eigenvector for the smaller eigenvalue of the coefficient matrix and 72 be an eigenvector for the larger eigenvalue. [] What are these eigenvectors: 15 6 Let us pick the eigenvectors such that 7₁ = = 8 v2 = H = and 72 = Then fill in the equation to write it in the eigenvector decomposed form. υιξή + v2ξ ύιξι + V2E2 + V1 +02

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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We wish to solve the system
[13] + [sin(0)].
via eigenvector decomposition.
X =
Let ₁ be an eigenvector for the smaller eigenvalue of the coefficient matrix and 72 be an eigenvector for the larger eigenvalue.
H
[]
Let us pick the eigenvectors such that 71
=
V1 =
15
V2
||
18
and 72 -
What are these eigenvectors:
Then fill in the equation to write it in the eigenvector decomposed form.
71&₁ + √2/2 =
ύιξι +
√22 + v1
+7₂
Transcribed Image Text:We wish to solve the system [13] + [sin(0)]. via eigenvector decomposition. X = Let ₁ be an eigenvector for the smaller eigenvalue of the coefficient matrix and 72 be an eigenvector for the larger eigenvalue. H [] Let us pick the eigenvectors such that 71 = V1 = 15 V2 || 18 and 72 - What are these eigenvectors: Then fill in the equation to write it in the eigenvector decomposed form. 71&₁ + √2/2 = ύιξι + √22 + v1 +7₂
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