Following the process of the Steinitz Exchange Lemma (that is, the proof of Theorem 1.11) using the standard basis of R4 S = {(1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 1, 0), (0, 0, 0, 1)}, extend the linearly independent set {(1,2, 3, 4), (6, 0, 8, 0)} to a set with 4 elements that span R4. Show your working! Finally, state whether your extended set is a basis for R4.

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