14. find the nullspace of the following matrices. 2 1 a. a -6 3 2 1 b. в - 1 3 c 1 2 3 с. 1 2 -3 d. d 4 2 -1 4 3 -2

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.