The speed of a race car in mph discrete or continuous

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.

(-y to the power of 2 - 4y- to the power of 2 -6 y +3)

Triangle dog was rotated to create triangle d'o'g'. describe the transformation using details and degrees.