Unimodular matrix
From Encyclopedia of Mathematics
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=49079
Unimodular matrix. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Unimodular_matrix&oldid=49079
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article