Consider the following system of equations. 20-3d- 2 2b+c-d 1 a+c-d = 3 a-3c+d = 1 (a) Write the system of equations as an augmented matrix. (3 points) (b) Reduce the system augmented matrix to Echelon form. (5 points) (e) Identify which variables are leading variables and which are free variables. (3 points) (d) Write the solution of the system of equations in vector form, if it exists. If there is no solution, then explain why that is the case. (4 points)