Given that the singular value decomposition of 2 3 A is given by the matrices 2 -1 U = V5 (1 2 1 -2 V = V5 (2 1 -(: ) 4 Σ 1 the rank-1 approximation to A that may be obtained from this singular value decomposition is given by A1 : 5 d for some integers а, b, с, d. What are the values of these integers (in order a, b, c, d)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given that the singular value decomposition of
A - (; :)
2 3
0 2
is given by the matrices
1
U =
V5 (1
2
-1
2
1
V =
V5 ( 2
1
-2
1
-(; )
4
Σ
1
the rank-1 approximation to
A
that may be obtained from this singular value decomposition is given by
1
Aj =
5
a
C
d
for some integers
а, b, с, d.
What are the values of these integers (in order a, b, c, d)?
Transcribed Image Text:Given that the singular value decomposition of A - (; :) 2 3 0 2 is given by the matrices 1 U = V5 (1 2 -1 2 1 V = V5 ( 2 1 -2 1 -(; ) 4 Σ 1 the rank-1 approximation to A that may be obtained from this singular value decomposition is given by 1 Aj = 5 a C d for some integers а, b, с, d. What are the values of these integers (in order a, b, c, d)?
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