There is a rack of 12 billiard balls. Balls numbered 1 through 8 are? solid-colored. Balls numbered 9 through 12 contain stripes. If one ball is selected at? random, determine the odds against it being striped.

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.