# Nonsingular Matrix

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Related to Nonsingular Matrix: symmetric matrix, Inverse of a matrix

## nonsingular matrix

[′nän‚siŋ·gyə·lər ′mā·triks] (mathematics)

A matrix which has an inverse; equivalently, its determinant is not zero.

## Nonsingular Matrix

in mathematics, a square matrix *A* = ǀǀa_{ij}ǀǀ1^{n} of order *n* whose determinant *\A\* is nonzero. Every nonsingular matrix is invertible. A nonsingular matrix defines a nonsingular linear transformation in *n*-dimensional space. The passage from one coordinate system to another is also defined by a nonsingular matrix.