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2. Suppose that TeL(V) and a is a basis for V. Prove that there is a basis B for V such that (T) =(7]?)', where
2. Suppose that TeL(V) and a is a basis for V. Prove that there is a basis B for V such that (T) =(7]?)', where the superscript t indicates the transpose. Hint: First turn this into a question about Jordan canonical forms, then start with one Jordan block. 2. Suppose that TeL(V) and a is a basis for V. Prove that there is a basis B for V such that (T) =(7]?)', where the superscript t indicates the transpose. Hint: First turn this into a question about Jordan canonical forms, then start with one Jordan block
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