Let A be an nxn mx with n distinct eigenvalues and let B be an nxn mx with AB=BA. if X is an eigenvector of A, show that BX is zero or is an eigenvector of A with the same eigenvalue. Conclude that X is also an eigenvector of B.(adsbygoogle = window.adsbygoogle || []).push({});

I could show BX is zero or is an eigenvector of A with the same eigenvalue, but i dont know how to Conclude that X is also an eigenvector of B. Does anyone know how to do it? Thanks!

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# Homework Help: (distinct eigenvalues) help!

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