The current project I'm working on needs to do a lot of matrix
multiplications, of the form

B * D * B.T

where D is a symmetric positive semi-definite matrix with rational
entries, B is a matrix with rational entries, and B * B.T is a
diagonal matrix (not necessarily the identity - i.e. the rows are
orthogonal, but not orthonormal, if those are the correct terms).

I was wondering if Sage will make use of the specific set-up here to
speed up the matrix product?

And if not, is there a faster way to do it?

Thanks,

Emil

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