g If the lines intersect or are parallel, give an equation for the plane which contains both lines. If the lines are skew, find a pair of parallel planes with each plane containing one of the lines (hint: in this case, find a vector perpendicular to both lines).

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.