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Results tagged with matrices
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user 127215
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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Given a chain of commuting matrices over the complex numbers, can we build one over the real...
Suppose we have two $n\times n$ matrices $A$ and $B$ with entries in $\mathbb{R}$, and two non-scalar matrices $X$ and $Y$ with entries in $\mathbb{C}$, such that $AX=XA$, $XY=YX$, and $BY=YB$. … (Here "non-scalar" just means that the matrices aren't scalar multiples of the identity matrix.) …
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Given a chain of commuting matrices over the complex numbers, can we build one over the real...
Update: it turns out the answer is no! See for instance Example 4.14 here.
- 421