Namespaces
Variants
Actions

Difference between revisions of "Submatrix"

From Encyclopedia of Mathematics
Jump to: navigation, search
m
m (link)
 
Line 5: Line 5:
 
''of a matrix $A$ of dimension $m\times n$''
 
''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 $A$.
+
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 $A$.

Latest revision as of 19:36, 11 December 2015

2020 Mathematics Subject Classification: Primary: 15Axx [MSN][ZBL]

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=36890
This article was adapted from an original article by T.S. Pigolkina (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article