Question: Let T : R4 - R4 be a linear transformation with A as the standard matrix, and B = {u1, u2, u3, u4} be a

Let T : R4 - R4 be a linear transformation with A as the standard matrix, and B = {u1, u2, u3, u4} be a basis for R4 such that T(ul ) = U2, T(U2) = ul, T(U3 ) = 23 , T(UA ) = u1 + U2 . 1. Find a basis for the range of T in terms of u1, u2, u3, u4. Justify your answer. 2. Find a basis for the kernel of T in terms of u1, u2, u3, u4. Justify your

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