2, (a) If A is an n x n matrix with rank n, which of the following statements are true? i) A is singular. i) A is invertible. iii) The column vectors of A are linearly independent. tv) Ax = 0 has only the trivial solution. v) Ax = c is inconsistent for non-zero c. (b) Suppose that an n x n matrix A is symmetric with n distinct eigenvalues. What can you say about the eigenvectors of A7 () Write the quadratic 2;.:"{1 + 4::% + 2:::?!; 2r112 + 41873 21173 = , in the form x\" Ax = constant. Explain how you would obtain the canonical form of this quadratic (do not do it)