The Attempt at a Solution
I don't understand how they get the numbers on the right. This is a null space problem so the 3x3 matrix = 0. By my reckoning
(1/3)x3 = 0 so x3 = 0. So then I try the second row.
2x3 = (3/2)x2
Divide both sides by two and x2 = 3/4
Plug that into the first row and we have
2x1 - 3 [(3/4)x3] - 2x3 = 0
x1 = (11/8)x3
It's now clear that I'm in disagreement with the book.