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

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Factorization of a bilinear matrix-valued function

Suppose that $F(u, v) = \sum_{i}\sum_j u_i v_i C_{ij}$ is a bilinear matrix-valued function, where $C_{ij}$ are known matrices. Is there a relatively easy way to factorize $F$ so that the $u$ and $v$ …
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