9. (30 points) mark as true or false; no justification necessary (a) if all the columns of a and b are pivot, then so are the columns of ab. (b) if for, v2, vs) is linearly independent, then so is ( (c) there is a 5 × 7 matrix whose columns span r5 with 2 pivot columns (d) if b is in the column space of a, then every solution of azb is a least squares solution. (e) any n x n symmetric matrix has n distinct real eigenvalues. (0) an orthogonal matrix is orthogonally diagonalizable. (g) if {ui, v2,u3} ? s an orthogonal basis for w c rs, then so is 1501,-27] ) to find the eigenvalues of a, reduce a to echelon form. 0) any eigenvalue of a is an eigenvalue of the transpose matrix (h) similar matrices have the same eigenvectors.