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Results tagged with matrices
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user 42140
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
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A submanifold of the space positive definite matrices
Consider the space of $n \times n$ positive definite symmetric matrices and let $\Sigma$ be one such matrix. … this space into a Riemannian manifold $M$ by means of the metric $$ds^2=tr(\Sigma^{-1}d\Sigma\Sigma^{-1}d\Sigma)$$
Now fix a $p<n$ and consider the collection $\Phi_p$ of all positive definite symmetric matrices …
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