# Singular Matrix

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## singular matrix

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

A matrix which has no inverse; equivalently, its determinant is zero.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

The following article is from

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.## Singular Matrix

a square matrix *A* = ǀǀa_{ij}ǀǀ 1^{n} of order *n* whose determinant is equal to zero—that is, whose rank is less than *n*. A matrix is singular if and only if there is a linear dependence between its rows and between its columns.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.