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Results tagged with matrices
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user 97603
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.
14
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1
answer
294
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Product of a Laver table and a Hadamard matrix has mostly 0 rows
I recently noticed (while playing around) that the product of a Laver matrix with a Hadamard matrix gives a very sparse matrix. In particular, all but logarithmically few rows are all zero. The nonzer …
- 1,203
10
votes
0
answers
173
views
Matrices whose pairwise products form a basis
Over the vector space of 2x2 matrices, the Pauli matrices $I, X, Y, Z$ form a complete basis. … Much the same thing can be accomplished on 4x4 matrices, using gamma matrices: $\gamma^0, \gamma^1 \dots \gamma^3$ are 4 of them, and $(\gamma^i)^2 = I$. …
- 1,203
2
votes
Accepted
Finding the minimum sum of a subset of entries of a given matrix with combinatorial constraints
This leaves off the mention that $a_{i,j}$ are integer: the values allowed by the above only restrict to the matrices $A$ that are doubly stochastic. … However, the space of doubly stochastic matrices is the convex hull of permutation matrices, which are the ones you want. …
- 1,203