Juan sells hats and t-shirts for students to wear to athletic events at his school. Yesterday, he sold 23 baseball caps and 20 t-shirts. He earned $200 from t-shirts sales and $287.50 from baseball caps. What is the cost of each baseball cap?

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.