Let A Compute the Singular Value Decomposition over Ccomplex

Let A:=

Compute the Singular Value Decomposition (over C{complex}) and the pseudoinverse of A.

Solution

Use this matlab code for obtianing SVD:

clc
clear
a=[-3 0 1 2;4 0 0 0;0 0 1 2]
fprintf(\'singular value decomposition \"s\" \')
s=svds(a)%finding svds
fprintf(\'pseudoinversre of \"a\" is given by \"b\" \')
b=pinv(a)

Answer you will get is

a =

-3 0 1 2
4 0 0 0
0 0 1 2

singular value decomposition \"s\"
s =

5.2500
2.7272
0.0000

pseudoinversre of \"a\" is given by \"b\"
b =

-0.0732 0.1951 0.0732
0 0 0
0.0780 0.0585 0.1220
0.1561 0.1171 0.2439

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