High Quality Content by WIKIPEDIA articles! In mathematics, a unimodular matrix M is a square integer matrix with determinant +1 or ?1. Equivalently, it is an integer matrix that is invertible over the integers: there is an integer matrix N which is its inverse (these are equivalent under Cramer's rule). Thus every equation Mx = b, where M and b are both integer, and M is unimodular, has an integer solution. The unimodular matrices of order n form a group, which is denoted GL_n(mathbb{Z}).

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