For each of the statements below, determine whether it is true or false. No explanations are needed. (a) If || A|| (b) A linear least squares problem always has a solution. (c) The product of a Householder reflection and a Givens rotations must be orthogonal. (d) Fitting a quadratic polynomial to a set of data points is a nonlinear problem. = 0, the A must be the zero matrix. (e) A square matrix is singular if and only if it has 0 as an eigenvalue. (f) If an n n matrix is singular, then it does not have a full set of n linearly independent eigenvectors.