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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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What is the integer form of a projector into the intersection of the ranges of two integer p...
Consider two square integer matrices $X$ and $Y$ of the same dimension with the following properties:
$X^2=rX$, and $Y^2=sY$ for integers $r$ and $s$. … What I have so far:
I think that the above properties of $X$ and $Y$ mean that the matrices $X/r$ and $Y/s$ are orthogonal projectors with respect to the metric $K$. …