You've decided to become a yogi. The Yogaerobics studio near your house charges $15 per class for non-
members. You are thinking about becoming a member.
If you become a member for a one-time fee of $45 then
each class will only cost $8. How many classes must
you take in order to make membership worth it?

To diagonalize an nxn matrix a means to find an invertible matrix p and a diagonal matrix d such that a pdp d p ap or [1 3 dh epap 3 let a=-3 -5 -3 3 3 1 step 1: find the eigenvalues of matrix a "2's" step 2: find the corresponding eigenvectors of a step 3: createp from eigenvectors in step 2 step 4 create d with matching eigenvalues.