1) I can assume all these matrices to be 2x2.
We have matrix A and B and AB = BA, that is, they commute.. Prove if C = A^2 + 2*A and D = A^3 + 5 * I (I is identity matrix), then CD = DC.
Then give a theory that generalizes this.
2) why does R(theta)R(phi)=R(theta+phi)? (explain with...