# Similar matrices and trace proof

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If A and B are matrices over the field F, show that the Now show that similar matrices have the same trace.

Recall: Let A and B are matrices over the field F. We say that B is similar to A over F if there is an invertible matrix P over F such that .

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https://brainmass.com/math/matrices/similar-matrices-trace-proof-67703

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If A and B are matrices over the field F, show that the Now show that similar matrices have ...

#### Solution Summary

This is a proof regarding similar matrices having the same trace.

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