Difference between revisions of "Unimodular matrix"
From Encyclopedia of Mathematics
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| + | $#C+1 = 2 : ~/encyclopedia/old_files/data/U095/U.0905370 Unimodular matrix | ||
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| + | A square matrix with determinant $ \pm 1 $. | ||
| + | Sometimes when considering matrices over a commutative ring one understands by a unimodular matrix an invertible matrix. | ||
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| − | Often also a unimodular matrix is meant to have determinant | + | Often also a unimodular matrix is meant to have determinant $ 1 $. |
| + | The unimodular matrices, in any of the meanings, form a group under multiplication. Cf. also [[Unimodular transformation|Unimodular transformation]]. | ||
Latest revision as of 08:27, 6 June 2020
A square matrix with determinant $ \pm 1 $.
Sometimes when considering matrices over a commutative ring one understands by a unimodular matrix an invertible matrix.
Comments
Often also a unimodular matrix is meant to have determinant $ 1 $. The unimodular matrices, in any of the meanings, form a group under multiplication. Cf. also Unimodular transformation.
How to Cite This Entry:
Unimodular matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Unimodular_matrix&oldid=15584
Unimodular matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Unimodular_matrix&oldid=15584
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article