The matrix 1 1 A = 4 4 -1 4 has a singular value decomposition A = U EVT where 1 1 U = V2 1 1 and - [9 Σ0 and 1 1 V2 V3 The 2,2 entry of V is (V)22 = -1/x. What is x?

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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The matrix
1
1
-7
A =
4
4
-1
4
4
has a singular value decomposition A = U EV" where
*
1
U =
*
and
6.
6
and
1
1
1
V3
1
V =
V3
1
The 2,2 entry of V is (V)22 = -1//x.
What is x?
Answer:
*
Transcribed Image Text:The matrix 1 1 -7 A = 4 4 -1 4 4 has a singular value decomposition A = U EV" where * 1 U = * and 6. 6 and 1 1 1 V3 1 V = V3 1 The 2,2 entry of V is (V)22 = -1//x. What is x? Answer: *
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