Help me solve a matrix (manually or using software)

[magneto_cool]

Hi,

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.

Any help will be much appreciated.

Thank you

 

[mayyan]

Re: Matrix Problem

if A,C are known matrixes you can just multiply and get 4 equation with 4 variables.

exmaple: A=C= (1 0 , 0 1) (identity matrix)
and B = ( a b , c d)

then:

1= aa+dc
0=ab+bd
0= ca+dc
1=cb+dd

Remark: i used the identity matrix for simplification ressons but u can solve your problem with any A,C.

 

[magneto_cool]

Re: Matrix Problem

Hi,

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?

Thank you.

 

[Kurniawan]

Re: Matrix Problem

[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

 

[magneto_cool]

Re: Matrix Problem

Hi,

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.

Thank you