MATH 383: WORKSHEET 9, WEDNESDAY APRIL 1Name:Problem 1.Writedown the solution of the system of equationsc1?2c2+c3?c4=?2c2+ 2c3+2c4= 5c3+c4= 1c4=?1.What does the augmented coefficient matrix looklike in this example?Problem 2.In this problem we will solve thesystem of equations?c1+c2+ 2c3?c4= 1c1+ 2c2?c3+ 0c4=?33c1?c2+c3+2c4= 80c1+c2+c3+c4= 2using elementary row operations.a) Write downthe augmented coefficient matrix for this system of equations.