Example

For example, in the picture, we have content (w, x, y, z) and

A =

0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1

For this matrix, we indeed have

(x, y, z, w + y + z) = (w, x, y, z)A.

After two shifts, the states are

(y, z, w + y + z, w + x + y + 2z) = (w, x, y, z)A².