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Results tagged with matrices
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user 13832
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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Finding null-homologous curves via the matrix equation $AB^iC^jx=0$
I represent all of these as matrices and let $x$ be the homology class of the starting curve. … Let $A$ be a fixed $m\times n$ matrix, $B,C$ fixed invertible $n\times n$ matrices and $x$ a fixed vector. Is there any way to determine all integers $i,j$ such that
$AB^iC^jx=0$? …
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General method for under and over determined systems?
The Moore-Penrose pseudoinverse is probably what you're looking for. The pseudoinverse solution $A^+b$ is the smallest norm $x$ such that $\|Ax-b\|_2$ is minimized. It can be computed using QR decompo …
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