Question: V= (null T) direct sum (range T). prove T in linear map L(V) is diagonalizable, or give a counterexample. This is the question 5C.2 from

V= (null T) direct sum (range T). prove T in linear map L(V) is diagonalizable, or give a counterexample. This is the question 5C.2 from linear algebra done right 3edition. Thank you!

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