-2 2 0 C 0 1 5 -235 (ii) (iii) For any bin R, the equation Cx=b has a solution. (If false, give an example b which makes it have no solution. If true, explain how you know; maybe cite a theorem.) (iv) (v) C has a pivot position in every row. C has a pivot position in every column. (vi) The columns of C span R³. -The equation Cx=6 has only the trivial solution = 0. (If false, write the solution set in parametric vector form. If true, explain how you know; maybe cite a theorem.) The columns of C are a linearly independent set of vectors.

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