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nonsingular matrix[′nän‚siŋ·gyə·lər ′mā·triks]
in mathematics, a square matrix A = ǀǀaijǀǀ1n 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.