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Results tagged with matrices
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user 39120
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.
6
votes
Accepted
Zero entries in matrix powers over finite rings
The Cayley-Hamilton theorem tells us that for each fixed pair $I,J$ the matrix entries $M^i[I,J]$ satisfy a length $n$ linear recurrence $$M^i[I,J] = a_1M^{i-1}[I,J] + a_2 M^{i-2}[I,J] + \cdots + a_n …
- 2,242
8
votes
1
answer
271
views
An integral Jacobson-Morozov theorem?
$\DeclareMathOperator\SL{SL}$I want to ask if there exists a version of the Jacobson–Morozov theorem for integer matrices. …
- 2,242