Can anybody knows the tool to do the manipulation of symbolic matrix of complex numbers. Ex. (2x+3y)+i(3x-5y). I know Matlab dealt only with numeric complex matrices. I want to find the inverse of symbolic complex matrices.
If you have the Symbolics tool installed, then in MATLAB:
>> syms x y z1 z2 w;
>> z1=(2*x+3*y)+i*(3*x-5*y)
z1 =
x*(3*i + 2) + y*(3 - 5*i)
>> z2=2*z1
z2 =
x*(6*i + 4) + y*(6 - 10*i)
>> w=z1*z2
w =
(x*(3*i + 2) + y*(3 - 5*i))*(x*(6*i + 4) + y*(6 - 10*i))
>> expand(w)
ans =
x^2*(24*i - 10) + x*y*(84 - 4*i) + y^2*(- 60*i - 32)
I hope that it was helpful.
Excellent reply by Demetris Christopoulos.
I like to add also.. Sometimes when we work with rotation matrices etc., we involve many terms involving cos, sin etc., and some "simplification" will be useful.
In such cases, it pays well to use the command - "simplify".
To illustrate further, for the example given by Demetris Christopoulos, if I use the command, "simplify(w)", I get the following answer.
>> w=z1*z2
w =
(x*(2 + 3*i) + y*(3 - 5*i))*(x*(4 + 6*i) + y*(6 - 10*i))
>> expand(w)
ans =
x^2*(24*i - 10) + x*y*(84 - 4*i) + y^2*(- 60*i - 32)
>> simplify(w)
ans =
2*(x*(2 + 3*i) + y*(3 - 5*i))^2
Best wishes,
Sundar
Athithan :
You are welcome. I often tour India to conduct MATLAB or SCILAB workshops.
When I next get an opportunity to conduct a MATLAB or SCILAB workshop, I shall post a note in RG for those who are interested.
Best wishes
Sundar
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