Unimodular matrix

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A square matrix with determinant . Sometimes when considering matrices over a commutative ring one understands by a unimodular matrix an invertible matrix.


Often also a unimodular matrix is meant to have determinant . The unimodular matrices, in any of the meanings, form a group under multiplication. Cf. also Unimodular transformation.

How to Cite This Entry:
Unimodular matrix. O.A. Ivanova (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098