Given the following vectors:

v_1 = [1, -2, 3]

v_2 = [-1, 1, 0]

v_3 = [1, -3, 5]

Find a vector w inR^3(which is not a scalar multiple of v_1, v_2, or v_3) that's in the Span{v_1, v_2, v_3} but not in the Span{v_1, v_2}.

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Not sure. Is it asking me to find an augmented vector so when I row reduce the 3x4 matrix it's consistent, but when I take that same vector and augment it with v_1, v_2 (so I'd have a 2x4 matrix) it's not consistent? Not sure...