4th December 2019


What does singular matrix means?

If this is the case, then the matrix B is uniquely determined by A and is called the inverse of A, denoted by A1. A square matrix that is not invertible is called singular or degenerate. A square matrix is singular if and only if its determinant is 0. For a noncommutative ring, the usual determinant is not defined.

So, what does it mean for a matrix to be nonsingular?

Nonsingular Matrix. 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 (Lipschutz 1991, p. 45).
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