Let S = {v₁, v₂, ...., v_k} be a basis for the subspace W of Rⁿ. Then a basis T for Rⁿ that contains S can be found by applying the method of Example 5 to the vectors

v₁, v₂, ......, v_k, e₁, e₂, ......, e_n.

Do this in Problems 17–20.

Find a basis T for R³ that contains the vectors v₁ = (3,2,-1) and v₂ = (2, -2, 1).