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## Main Question or Discussion Point

Just curious, are there any?

- Thread starter kof9595995
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Just curious, are there any?

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HallsofIvy

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What do you mean by "matrix congruence"? Congruent in what sense?

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Just the ordinary definition of congruent matrices.

http://en.wikipedia.org/wiki/Matrix_congruence

http://en.wikipedia.org/wiki/Matrix_congruence

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But in that case similarity transformation would be enough, it happens to be a congruence transformation just because inertia tensor is real symmetric. So nothing nontrivial about congruence relation is actually invoked.

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