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Let B = {1 - 3x2 + 2x3, x + 2x2 - 3x3, 1 - 3x...

Let B = {1 - 3x2 + 2x3, x + 2x2 - 3x3, 1 - 3x - 8x2 + 7x3, 2 + x - 5x2 + 6x3} be the set of vectors in P3

            a) Show that the set B a basis for P3? Justify.

  b) Use the basis in part (a) to find the coordinate vector of f = -1 - 3x - 5x2 + 11x3 .

Please show all work.

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