Find the dimension of the subspace W=span{⟨1,−1,2⟩,⟨2,−2,4⟩,⟨1,0,1⟩}W = \text{span}\{\langle 1, -1, 2 \rangle, \langle 2, -2, 4 \rangle, \langle 1, 0, 1 \rangle\}W=span{⟨1,−1,2⟩,⟨2,−2,4⟩,⟨1,0,1⟩}.
111
222
333
000