The graph below shows a triangle with the matrix below applied to it. In red is the triangle before any transformation is applied, and in green is the triangle with each vertex multiplied by the first matrix below, which will be called \(M\). Clicking the "Test" button will cause the inverse matrix entered to be applied as an animation. The app will play an animation sequence, first by gradually applying the transformation matrix. It will then pause for a while, and then it will gradually apply the entered inverse matrix with the triangle in purple. If the inverse matrix entered is correct, the purple triangle will be mapped perfectly back onto the red, untransformed triangle, since \(M M^{-1} = M^{-1} M = I\).
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