The conversation between human and AI assistant.
How do I solve rubik's cube by matrices?
Can you give me an example of how to represent one of the turns as a matrix?
Sure thing. Let's take the R turn, which rotates the right-hand side of the cube clockwise. This can be represented by the following matrix:

[ [1, 0, 0],
  [0, 0, 1],
  [0,-1, 0] ]

By multiplying the current matrix by this one, we rotate the right side of the cube clockwise by 90 degrees.