Eigenvalue/vector M^n=PD^nP^-1

[Canadian]

Homework Statement

The Attempt at a Solution

First I found eigenvalues/vectors. Eigenvalues = 0, 3. Associated eigenvectors are (1,2) and (1,1). P= matrix of e. vectors, D = matrix of values.

Not really sure where I'm going wrong, have gone through it a few times, but my answer is only 50% correct according to the computer program.

 

[Curious3141]

Recalculate the inverse of P. Sign error in row2, column1, it should be 2 and not -2.

 

[HallsofIvy]

You also have P and P ^-1 reversed.