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I am currently trying to use Mathematica to find the symbolic solutions to a set of complex linear equations. I have never used Mathematica for such a task before and am finding it quite difficult. Let me state the problem:

[tex]\begin{pmatrix}a^{*}a-b^{*}b&ac^{*}-bd^{*}\\a^{*}c-b^{*}d&c^{*}c-d^{*}d\end{pmatrix}=\begin{pmatrix}-(\mu+2tcos(p))&2(\Re(\Delta)-i\Im(\Delta))sin(p)\\2(\Re(\Delta)+i\Im(\Delta))sin(p)&\mu+2tcos(p)\end{pmatrix}; \qquad \text{ where } \mu, \Re(\Delta), \Im(\Delta), t \text{ are real constants }; p\inℝ[/tex]

I am attempting to solve for the complex functions [tex]a(p), b(p), c(p), d(p)[/tex] Is this even possible or am I wasting my time?

Thanks

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# Mathematica: Solving Linear Complex Systems

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