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(Solved): Let , Show That There Exists An Nxn Matrix M With The Property , But . If You Have Time Please Give ...

Let n \geq 3 , show that there exists an nxn matrix M with the property M^{3} = 0 , but M^{2} \neq 0 .

If you have time please give other possible proof questions that could be similar to this question, thank you.

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