Question: Could you help giving me explanation on the problem below ? Thank you. Let T be an invertible linear operator on a finite dimensional vector

Could you help giving me explanation on the problem below ? Thank you.

Let T be an invertible linear operator on a finite dimensional vector space V with dim(V) = n. Suppose )1, 12, and 3 are the distinct eigenvalues of T. Prove that if dim( Ex, ) = n - 2, then T is diagonalizable

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