I am not very good in matrix manipulation but currently i need to solve a matrix of the form [A] = [C]. Where A, B and C are all 2x2 matrix. Matrix A and C are known and are complex and i need to solve for matrix B. Can anyone provide ways of simplifying and solving for the matrix either manually or using software like matlab.
Thanks for the advise. I understand that having 4 equation and 4 unknown the equation can be solved. However the problem is that solving the equation manually is very difficult because for my case matrix A and C are complex numbers. Is there any way of simplifying the equations using software?
[A]=**[C]
in matlab use i for imaginary part, ex A=[1+3i, 2+5i; 5+8i, 7+3i]
input all your matrices [A] and [C] in matlab like above.
so typing in matlab: B=A\C or B=A*inv(C) (same result)
and yield is B^-0.5
good luck
Thanks for the advise but my problem is [A] = *[C]* and not [A]=**[C]. Of course if the 2 B matrix is in the front then solving the problem should be quites straight forward but in my case i don't think it will be possible to arrange the equation such that the we can solve the B matrix directly.