The shed in stephine's back yard has a door that measures 6 feet high and 3 feet wide. Stephanie would like to buy a store a ladder in the shed diagonally. What is the maximum height of a ladder she can buy to fit through the door

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.