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Algebraic and geometric theory of quadratic forms and symmetric bilinear forms, e.g., values attained by quadratic forms, isotropic subspaces, the Witt ring, invariants of quadratic forms, the discriminant and Clifford algebra of a quadratic form, Pfister forms, automorphisms of quadratic forms.

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Solving a quadratic matrix equation with fat matrix

I am trying to find an $n \times m$ fat (i.e., $m > n$) matrix $T$ that solves $$T^T T = X$$ where $X$ is a given $m \times m$ symmetric, positive semidefinite matrix. I saw this post, but unfortun …
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