The question reads: "For the matrix A below, find a spanning set for its Nullspace.

"

So... I want to solve for such that Ax = 0.

I row reduce; r2 -> r2-2r1, r3->r3-3r1

then r3->r3-r2

Giving

.

So we can say , , , .

So the Nullspace is spanned by

Should Ax not then be zero?

I'm obviously wrong somewhere... but I can't spot where...