Science Fair Project Encyclopedia
Submatrix
(Redirected from Submatrices)
In mathematics, a submatrix is a matrix formed by selecting certain rows and columns from a bigger matrix. That is, as an array, it is cut down to those entries constrained by row and column.
For example
Then
![A[1,2; 1,3,4]=\begin{bmatrix} a_{11} & a_{13} & a_{14} \\ a_{21} & a_{23} & a_{24} \end{bmatrix}](a/../upload/math/a635b082b4b534a7cf905dd657f20557.png)
is a submatrix of A formed by rows 1,2 and columns 1,3,4. This submatrix can also be denoted by A(3;2) which means that it is formed by deleting row 3 and column 2.
The above two methods are common, but there is no standard way to denote a submatrix.
The corresponding concept in determinant theory is of minor determinant, that is, determinant of a square submatrix.
See also: block matrix.
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details