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