Trig1

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Invert the matrix $\begin{bmatrix} \cos & \sin \\ -\sin & \cos \\ \end{bmatrix}$

A general inversion formula for a 2x2 matrix $A\,$ is:

$A = \begin{bmatrix} a & b \\ c & d \\ \end{bmatrix},\,\,\,A^{-1} = \frac{1}{\det(A)}\begin{bmatrix} d & -b \\ -c & a \\ \end{bmatrix}\,$

So the inverse for this matrix is:

$\begin{bmatrix} \cos & -\sin \\ \sin & \cos \\ \end{bmatrix}\,$

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