A [1 -1 3] (11 When factoring A as UEVT, Σ has 2 rows and 3 columns. V has has 3 rows and 3 columns. U has 2 rows and 2 columns. U= || V = 7/2 15- 0 1 1 √2 0 1 √2 1 $2 0 √6 1 1 3 1 3 1 √3 0 1 √6 WIN || 1 √6

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
U
-
Σ has 2 rows and 3 columns.
V has has 3 rows and 3 columns.
=
U has 2 rows and 2 columns.
Σ:
[1 -1 3]
1
1
||
V=
||
1
√2
√2
4
0
心
When factoring A as UEVT,
0
2
12
1
√2
√
0
√6
1
√3
1
+3
ㅎ
0
0
-18 2100 -18
√
The best rank 1 approximation to A is
8
·
Transcribed Image Text:A U - Σ has 2 rows and 3 columns. V has has 3 rows and 3 columns. = U has 2 rows and 2 columns. Σ: [1 -1 3] 1 1 || V= || 1 √2 √2 4 0 心 When factoring A as UEVT, 0 2 12 1 √2 √ 0 √6 1 √3 1 +3 ㅎ 0 0 -18 2100 -18 √ The best rank 1 approximation to A is 8 ·
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