Consider the homogeneous system of equations with coefficient matrix 3 9 -1 A = 0 1 -2 6 18 -4 [Fiecall: A homogeneous system is one where the right hand side of each equation is 0.] (a) State the number of variables in the homogeneous system of equations. Number of Variables n = (b) Determine the rank of A. Rank = (c) Use the results in parts (a) and (b) to determine the number of parameters in the general solution to the system of equations. Number of Parameters k =