The matrix has a singular value decomposition A = U EVT where and and The 2,2 entry of the pseudoinverse A+ is (A+)22 = 1/z. What is z? -3 ^= [3³ 3] A 5 U = [ ₁₁ 히 5√2 0 s- [5V² 3/12] Σ = 0 3√2 - 1/2 √2/2 V = - ½/2 - 1/2
The matrix has a singular value decomposition A = U EVT where and and The 2,2 entry of the pseudoinverse A+ is (A+)22 = 1/z. What is z? -3 ^= [3³ 3] A 5 U = [ ₁₁ 히 5√2 0 s- [5V² 3/12] Σ = 0 3√2 - 1/2 √2/2 V = - ½/2 - 1/2
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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![The matrix
has a singular value decomposition A = UZVT where
and
and
The 2,2 entry of the pseudoinverse A+ is (A†)22 = 1/z.
What is z?
Answer:
-3
3
A =
5
-3
0
Σ =
[5√2 0
0
3√/2]
7/2
-BA
V =
1
U =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fe1fc35-672a-49fd-831b-9642c77888ed%2F9ae06df5-a70f-4415-9c52-dcb3ac2e8560%2Fmbfyklg_processed.png&w=3840&q=75)
Transcribed Image Text:The matrix
has a singular value decomposition A = UZVT where
and
and
The 2,2 entry of the pseudoinverse A+ is (A†)22 = 1/z.
What is z?
Answer:
-3
3
A =
5
-3
0
Σ =
[5√2 0
0
3√/2]
7/2
-BA
V =
1
U =
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