A greengrocer buys fruit and vegetables from the market and sells them at a 25% mark up. On one particular morning, her fruit and vegetables cost her €500. If she sells all of her produce, find her profit and total income.

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.