1. The problem statement, all variables and given/known data The matrix A has 3 distinct eigenvalues t1< t2< t3. Let vi be the unique eigenvector associated to ti with a 1 as its first nonzero component. Let D= [t1 0 0 0 t2 0 0 0 t3] and P= [v1|v2|v3] so that the ith column of P is the eigenvector vi associated to ti A= 7 2 -8 0 1 0 4 2 -5 a) Find D b) Find P c) Find P-1 2. Relevant equations 3. The attempt at a solution My thought to find D was to find the characteristic equation of A which I found to be (t-3)(t+1)=0 so the eigenvalues would be t=-3, t=1 I then plugged in these values into the matrix D so D became 3 0 0 0 -1 0 0 0 0 but it was counting it wrong. What did I mess up on?