Question: 1. Let 7 : P:(F) - Ps(F) be given by T(p(x)) = -8c'p(x). [5 marks] (A) Find a basis for null(T). 15 marks] (B) Find

1. Let 7 : P:(F) - Ps(F) be given by T(p(x)) = -8c'p"(x). [5 marks] (A) Find a basis for null(T). 15 marks] (B) Find a basis for range(T). [5 marks] (C) Is T isomorphism? Justify your

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