Suppose A is the symmetric matrix below: A has the eigenvalues and unit vectors: The spectral decomposition of A has the form: Suppose: What is the value of p11? What is the value of 911? A = 2₁ = 9₁ v₁ = √√√2 2₂ = − 9₁ V₂ = √3/2 A = A₁ + A₂ = 2₁V₁ V² + 2₂ V₂V/ A A2 = 1₂V₂v² = = P11 P12 P21 P22/ 911 912 921 922

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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Suppose A is the symmetric matrix below:
A has the eigenvalues and unit vectors:
The spectral decomposition of A has the form:
Suppose:
What is the value of p11?
What is the value of 911?
A =
2₁ = 9,0₁ =
=+H
2₂ = -9, v₂ =
A = A₁ + A₂ =2₁V₁ V² +h₂V₂V/²
A₁ = 2₁
A2 = 1₂V₂v₂ =
P11 P12
P21
P22,
911 912
921 922/
Transcribed Image Text:Suppose A is the symmetric matrix below: A has the eigenvalues and unit vectors: The spectral decomposition of A has the form: Suppose: What is the value of p11? What is the value of 911? A = 2₁ = 9,0₁ = =+H 2₂ = -9, v₂ = A = A₁ + A₂ =2₁V₁ V² +h₂V₂V/² A₁ = 2₁ A2 = 1₂V₂v₂ = P11 P12 P21 P22, 911 912 921 922/
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