Question: 5. Let T : V - V be a linear mapping and let B = {U1, ..., Un} be a basis for V such that

5. Let T : V - V be a linear mapping and let B = {U1, ..., Un} be a basis for V such that {Ur+1, ...,Un} is a basis for Ker(T). Define an isomorphism S : V - V such that ToSoT =T. Prove that your mapping S is one-to-one, onto, and satisfies To S oT = T

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