A florist must make 5 identical bridesmaid bouquets for a wedding. She has a budget of $160 and wants 12 flowers for each bouquet. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. She wants twice as many roses as the other two types of flowers combined. How many of each type of flower should be in each bouquet?

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.