John aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode

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.