Joe has 5 video games for his PlayStation4. He collects 2 new games every month. Mike also has a PlayStation4 but has no games. He is saving his money so he can buy 3 game every month. How many months will it take Mike to have as many video games as Joe?

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.