Gabriel is not one for pairing socks before he throws them in his sock drawer. One dark morning, his drawer contains 8 blue socks, 6 brown socks, and 4 gray socks. What is the probability that he pulls a brown sock? Explain your answer?

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.