Let V be a finite dimensional vector spaces over the filed R and T:V-->V be a linear operator such that T³=T. Is T triangulable ? Justify your answer.
What if V=R³ then if the linear operator T:R³-->R³ is not triangulable over R then T is diagonalizable over C.

I have already got many wrong answer. I finals are coming. Please help me with this homework.

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