2. Let T : R[X]deg<2 → R² be a linear transformation satisfying 1 0 3 1 1 0 [T]c+B = where B = {1,1+ X, 1 + X²} and C = {(1, 1), (1, – 1)}. Find a basis for ker(T) and range(T), and determine whether T is injective and/or surjective. %3D

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