Question: Consider the system of three linear equations:

x- y + 2z = 3
-x + 2y – 3z = -2
2x -2y +z = 3

 [A] Solve the system by applying the Gaussian elimination method. Show some work. [When you are done, it is a very good idea to check your solution by substitution into the original system of equations, but do not go to the trouble of submitting your check.]

[B] Write the augmented 3 x 4 matrix corresponding to this system.