Jairo is making necklaces and keychains to sell at a craft fair. It takes him 3 hours to make necklaces and 1 hour to make keychains. He only has 30 hours available to make
the items before the fair. He knows that he must make at least 8 keychains for people
that ordered ahead.

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.