The matrix 1 A = 4 4 has a singular value decomposition A = U EVT where 1 U = and Го 0 0 E =| 0 6. and V The 1,1 entry of U is (U)11 = 1/yỹ. What is y? Answer: 2 si- l- Sl-

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 50EQ
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The matrix
1
-7
A = | 4
4
-1
4
-1
has a singular value decomposition A = U E VT where
1
1
1
U =
*
V2
1
and
Σ0
and
1
1
V3
V2
1
V =
V3
V3
The 1,1 entry of U is (U)11
1//ỹ.
What is y?
Answer:
2
Transcribed Image Text:The matrix 1 -7 A = | 4 4 -1 4 -1 has a singular value decomposition A = U E VT where 1 1 1 U = * V2 1 and Σ0 and 1 1 V3 V2 1 V = V3 V3 The 1,1 entry of U is (U)11 1//ỹ. What is y? Answer: 2
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