Question: LINEAR ALGEBRA 1. Let T : P3(F) - P3(F) be given by T(p(x)) = -8x3p (x). 5 marks (A) Find a basis for null(T). [5

LINEAR ALGEBRA

1. Let T : P3(F) - P3(F) be given by T(p(x)) = -8x3p" (x). 5 marks (A) Find a basis for null(T). [5 marks] (B) Find a basis for range(T). [5 marks] (C) Is T isomorphism? Justify your

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