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    Nonsingular Matrix

    Definition

    A square matrix that is not singular, i.e., one that has a matrix inverse. Nonsingular matrices are sometimes also called regular matrices. A square matrix is nonsingular iff its determinant is nonzero. For example, there are 6 nonsingular 2×2 (0, 1)-matrices: [0 | 1 1 | 0], [0 | 1 1 | 1], [1 | 0 0 | 1], [1 | 0 1 | 1], [1 | 1 0 | 1], [1 | 1 1 | 0]. The following table gives the numbers of nonsingular n×n matrices for certain matrix classes.

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