the matrices A and B are(adsbygoogle = window.adsbygoogle || []).push({});

invertible symmetric matrices and AB = BA.

Show that A*B^-1 is symmetric

(A*B^-1)^T

=A^T * (B^-1)^T

=A^T * (B^T)^-1

Since A and B are symmetric

=A*B^-1

Is this right? Is (B^-1)^T = (B^T)^-1?

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# Homework Help: Help with matrix proof

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