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Hi all,
I need help.
I have A*A' = C, where
C = [2/3 -1/3 -1/3;-1/3 2/3 -1/3;-1/3 -1/3 2/3]
and A is matrix 3x2.
How to generate A?
Thank You
4 个评论
madhan ravi
2018-11-26
"A is matrix 3x2."
? A is given?
Imil Imran
2018-11-26
Image Analyst
2018-11-26
Is this your homework? Homework help
Walter Roberson
2018-11-26
Looks like there are at least 60 solutions once you realize that the solutions are not restricted to real numbers.
采纳的回答
Bruno Luong
2018-11-26
编辑：Bruno Luong
2018-11-29
One solution can be found by using SVD
>> C = [2/3 -1/3 -1/3;-1/3 2/3 -1/3;-1/3 -1/3 2/3]
C =
0.6667 -0.3333 -0.3333
-0.3333 0.6667 -0.3333
-0.3333 -0.3333 0.6667
>> rank(C) % check if C can be factorized with 3x2 matrix
ans =
2
>> [U,S,V]=svd(C);
>> A = U(:,1:2)*S(1:2,1:2)
A =
-0.8165 0.0000
0.4082 -0.7071
0.4082 0.7071
>> A*A'
ans =
0.6667 -0.3333 -0.3333
-0.3333 0.6667 -0.3333
-0.3333 -0.3333 0.6667
The solution is not uique since you can multiply on the right side of A by any Hermitian matrix of size 2 x 2
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