Difference between revisions of "Submatrix"
From Encyclopedia of Mathematics
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− | A matrix of dimension | + | ''of a matrix $A$ of dimension $m\times n$'' |
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+ | A matrix of dimension $k\times l$, where $1<k<m$, $1<l<n$, formed by the elements at the intersection of $k$ specified rows and $l$ specified columns of $A$ with retention of the previous order. The determinant of a square submatrix of order $k$ of a matrix $A$ is called a minor of order $k$ of $A$. |
Revision as of 08:03, 5 March 2013
of a matrix $A$ of dimension $m\times n$
A matrix of dimension $k\times l$, where $1<k<m$, $1<l<n$, formed by the elements at the intersection of $k$ specified rows and $l$ specified columns of $A$ with retention of the previous order. The determinant of a square submatrix of order $k$ of a matrix $A$ is called a minor of order $k$ of $A$.
How to Cite This Entry:
Submatrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Submatrix&oldid=29511
Submatrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Submatrix&oldid=29511
This article was adapted from an original article by T.S. Pigolkina (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article