Multiply matrices with complex values

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Lokeshwaran
Lokeshwaran on 28 Nov 2012
I have a special requirement with respect to the multiplication of the matrices. The elements of the matrices are complex numbers.
eg, A = [1+1i, 2+2i; 3+3i 4+4i] B = [1+1i, 2+2i; 3+3i 4+4i]
If C = A*B , C is usually a matrix of complex values.
that is, C(1,1) = ((1+1i)*(1+1i))+((2+2i)*(3+3i))
But in my case I want C(1,1) = abs((1+1i)*(1+1i))+abs((2+2i)*(3+3i)) and similiarly for all the elements of the reulting matrix C
Is there any special function to do this automatically or should this be done manually using loops?

Answers (1)

Babak
Babak on 28 Nov 2012
The result is equivallent to
A = [1+1i, 2+2i; 3+3i 4+4i];
B = [1+1i, 2+2i; 3+3i 4+4i];
C = abs(A)*abs(B)
since
a = 3+2i; b = 4-1i; % for exmaple
abs(a*b) = abs(a)*abs(b)
for any scalar complex number a, b.

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