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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

6 votes
1 answer
2k views

Bounding the eigenvalues of $B A B^T$ with the eigenvalues of $A$

Given a Hermitian positive semi-definite $n \times n$ matrix $A$ and a rectangular $m \times n$ matrix $B$, is there anything that can be said about the eigenvalues of the matrix $B A B^T$? It seems …