I see expressions like this all the time in technical literature. The only $A$ and $B$ can be any size matrices as long as the expression is legal. I believe that the transposition is usually conjugate for complex vector spaces.
Is there an intuitive interpretation of $ABA^T$?
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linear-algebra
intuition
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0Ah, [congruent matrices...](http://en.wikipedia.org/wiki/Matrix_congruence) – 2011-10-03