factoring.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A =
||
V
V has has 2 rows and 2 columns.
U=
|||
U has 3
||
-6 2
-35 . When factoring A as UVT,
.
0 4
-
has 3 rows and 2 columns.
||
23
0|1
6√2
0
0
rows and 3 columns.
1
1
2
V is orthogonal: 1
T
1|1
33
0
3√2
0
√2
T
23
23
The best rank 1 approximation to A is
2
3√5
4
3√5
10/00
√5
3
0
2
√5.
√5
Transcribed Image Text:A = || V V has has 2 rows and 2 columns. U= ||| U has 3 || -6 2 -35 . When factoring A as UVT, . 0 4 - has 3 rows and 2 columns. || 23 0|1 6√2 0 0 rows and 3 columns. 1 1 2 V is orthogonal: 1 T 1|1 33 0 3√2 0 √2 T 23 23 The best rank 1 approximation to A is 2 3√5 4 3√5 10/00 √5 3 0 2 √5. √5
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