Nonsingular Matrix

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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_ijǀǀ1ⁿ 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.

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