Consider the system of equations

ax + bz = 1

cy = 1

dx + ez = 1

Question One [5 marks] Consider the system of equations ax + bz = 1 cy = 1 dx + ez = 1 where a, b, c, d, e # 0. a) What additional requirement must be imposed on a, b, c, d, and e for the inverse of the coefficient matrix to exist? b) Calculate the inverse of the coefficient matrix (where it exists), and use it to solve the system of equations