Let A = [ [0, 1], [1, 0] ]. Which of the following is a correct statement about A^2 and A^3?

Let A = [ [0, 1], [1, 0] ]. Which of the following is a correct statement about A^2 and A^3?

• A. A^2 = [ [0, 1], [1, 0] ]; A^3 = A
• B. A^2 = [ [1, 0], [0, 1] ]; A^3 = A
• C. A^2 = [ [1, 0], [0, 1] ]; A^3 = -A
• D. A^2 = [ [0, 1], [1, 0] ]; A^3 = -A

Answer: (B)