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An eigenvalues problem

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** Please see the attached file for the complete problem description **

An n * n matrix A is said to be nilpotent if A^k = O for some positive integer k. Show that all the eigenvalues of a nilpotent matrix are equal to zero.

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In this solution we solve a question concerning eigenvalues.

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** Please see the attached file for the complete solution **
Let A be nilpotent and (please see the attached file) be any eigenvalue of A. Let also u be a corresponding (to (please ...

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