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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'unimodular matrix'
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quote marks should look like ``this'', because ``this" doesn't work with latex2html by jac
Correction id: 6190
Filed on: 2005-02-28 01:43:09
Status: Accepted on 2005-02-28 12:51:40
Type: Meta/Minor
Correction text:
| The concept of the unimodularity of a square matrix over a field can be readily extended to that of a square matrix over a commutative ring. Unimodularity in square matrices can even be extended to arbitrary finite-dimensional matrices: suppose $R$ is a commutative ring with 1, and $M$ is an $m\times n$ matrix over $R$ (entries are elements of $R$) with $m\leq n$. Then $M$ is said to be \emph{unimodular} if it can be ``completed" to a $n\times n$ square unimodular matrix $N$ over $R$. By completion of $M$ to $N$ we mean that $m$ of the $n$ rows in $N$ are exactly the rows of $M$. Of course, the operation of completion from a matrix to a square matrix can be done via columns too. |
No comment from object owner CWoo.
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