In this question we investigate Theorem 2, from the 2.12.3 Reading (see p.8), by examining a specific example. This is a great way to understand what a Theorem is saying, if you are unsure when you're doing your readings. 1 2 1 x LetA= 2 1 1 andx: y. 1 3 3 z (a) Compute AX and verify that it's a linear combination of the columns of A. (b) Show that if AX = b is consistent, then b must be a linear combination of the columns of A. 3 3 (c) Find a solution to the system AX = 1 by expressing 1 as a linear combination of the columns of A. 4 4