How do I solve this matrix?

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How do I expand the following matrix? I have no experience in linear algebra (well 35 years ago..)

Its the equation just after equation 16b in this link


Here are the equations in question:

$$ \begin{bmatrix} Y_m(n) \\ {Y^*}_{-m}(n) \\ \end{bmatrix} = {K_m}^{-1}$$

$$ \begin{bmatrix} Z_m(n) \\ {Z^*}_{-m}(n) \\ \end{bmatrix} = {K_m}^{-1}{K}_m\begin{bmatrix} Y_m(n) \\ {Y^*}_{-m}(n) \\ \end{bmatrix} $$

Where $$ K_m = \begin{bmatrix} K_{1m} & K_{2m}\\ K_{2m}^* & K_{1m}^* \end{bmatrix} $$