The matrix has a singular value decomposition A = UEVT where and and The 2,1 entry of U is (U)21 = 1/√y. What is y? Answer: A = U = √y * Σ = 3 3 -6 -5-5-5 1 12 0 0 0 6 0 0 0 0 √√3 -6 -6 -3 0 6 1 √6 1 √6 √√3 S-WINS- -|-|S 1 √2 1 0 1 --- √2 1 √x √2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 34E
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The matrix
has a singular value decomposition A = UΣVT where
and
and
The 2,1 entry of U is (U)21 =
What is y?
Answer:
: 1/√√y.
3
-6
-3
A = 3 -6 -3
-6
0
6
U =
V =
*
-
√y
Σ =
12 0
0
0
ن ادا - دی - اردة
√3
Sual-st-
√3
0
6 0
0 0
-12-15
23
√6
-|-|$
1
√2
0
1
√2
0
1
√2
Transcribed Image Text:The matrix has a singular value decomposition A = UΣVT where and and The 2,1 entry of U is (U)21 = What is y? Answer: : 1/√√y. 3 -6 -3 A = 3 -6 -3 -6 0 6 U = V = * - √y Σ = 12 0 0 0 ن ادا - دی - اردة √3 Sual-st- √3 0 6 0 0 0 -12-15 23 √6 -|-|$ 1 √2 0 1 √2 0 1 √2
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