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Results tagged with matrices
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user 20516
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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are intersections of kernels also kernels? [closed]
Suppose $S,T$ are two linear transformations between some fixed pair $V, V'$ of finite-dimensional real linear vector spaces. Now suppose further that $S,T$ have nontrivial kernels in $V$ and that the …
- 2,274
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Primitive orthogonal vectors/Unimodular matrices
Take any primitive nonzero vector $v$ in $\mathbb{Z}^n$. Then the orthocomplement $v^\perp$ in $\mathbb{R}^n$ (with respect to usual euclidean product) is a $\mathbb{Z}^n$-rational subspace of height …
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Comparing the volume of a rational lagrangian under a linear symplectomorphism.
The question that arises as: how do we relate the following two matrices (and in particular, their determinants): $$({}^tw_i w_j),~~~~ ({}^tw_i {}^tA A w_j)? … Then we are simply looking for a comparison between the determinants of the following matrices: $${}^t\mathbb{W} \mathbb{W}, ~~~{}^t\mathbb{W} {}^tAA\mathbb{W}.$$
Even more concisely, we'd be happy to …
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Have derivatives of determinants along 1-psg's ever been 'coherently' computed via Jacobi's ...
Suppose $\mathfrak{p}$ denotes all the symmetric matrices in $\mathfrak{sl}_{2n} \mathbb{R}$. …
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