(a) consider the following system of equations: x- 2y +3z-6 2x +3y +z-7 (i) write the equations in matrix form, ax-b. (2 marks) (ii) solve for x, y, and z using the inverse method. (8 marks) (iii) verify that your solution is correct. (1 mark) (iv) solve for y using cramer's theorem. (4 marks) (b) consider the following matrix e for which k is a constant: εξ1k 20 the determinant of e can be expressed as det(e) -k-10k+16 (i) state detce) in terms of k. (2 marks) (ii) for which values of k is e a singular matrix? (3 marks)