1. The problem statement, all variables and given/known data A is a 2x2 matrix with eigenvectors 1,-1 and 1,1 with respective eigenvalues 2 and 3. x is 2,0. Find (A^4)x 2. Relevant equations I know (A^k)v=(lamda^k)v But I just don't know how to solve this to find A and then multiple it by x 3. The attempt at a solution See above Thanks a lot for anyone's help or input!