Let $\displaystyle T$ be a linear operator on the n-dimensional vector space $\displaystyle V$, and suppose that $\displaystyle T$ has $\displaystyle n$ distinct characteristic values. Prove that $\displaystyle T$ is diagonalizable

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- Mar 23rd 2009, 02:09 AMChandru1Diagonalization
Let $\displaystyle T$ be a linear operator on the n-dimensional vector space $\displaystyle V$, and suppose that $\displaystyle T$ has $\displaystyle n$ distinct characteristic values. Prove that $\displaystyle T$ is diagonalizable

- Mar 23rd 2009, 11:31 AMOpalg