I need help starting/doing this proof.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose S,T are Linear Operators on a Finite Dimensional Vector Space V. Prove that ST and TS have the same eigenvalues.

A linear operator is a linear map from a vector space to itself.

thanks.

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# Given S, T, prove that ST and TS have the same eigenvalues.

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