Automatic screen rotation

[Kevin Kofler]

This matrix is a permutation matrix. Like an identity matrix, but with some rows/columns permuted. Every row and every column should contain exactly one 1, all other entries should be 0. You can try all possible permutations, for a 3×3 matrix, there are 3!=1*2*3=6 possible permutations.

I believe that the mount matrix, in addition to such a permutation, can also apply mirroring, where you replace one or more of the 1 entries by -1.