Solve the following augmented Matrix:

 

***** -2x1 + x2 2x2 3x1 -2x1 2x1 11 The reduced row echelon form of the augmented matrix for this linear system is 15 + 3x3 5x3 2x3 3x3 + I X5 2x5 (You should perform by hand all the row operations needed to obtain this reduced row echelon form. On the exams, you will not be allowed to use a calculator or computer to obtain row echelon forms, so you should get some practice. Of course, there are more important things to learn in this course than becoming very proficient at performing row operations, but many questions in linear algebra require a matrix to be put in echelon form and being careful with basic computations is actually a useful skill to have in life.) The general solution for this system is = 9516