State (with a brief explanation) whether the following statements are true or false. (a) The vector ( 1, 4, 2) is a linear combination of (1, 0, 0) and (0, 1, 0). (b) The vectors ( 1, 0, 0 ), (2, 1, 0), ( -1, 3, 0) span R3. (c) The vectors ( 1, 1, 0 ), ( 0, 0, -1) span the subspace of R3 of vectors of the form (a, a, b). (d) The set {( 1, 2, 3 ), ( 1, 2, 0), ( 1, 0, 0)} is linearly dependent.

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