Singular matrix

From HandWiki
Short description: A non-invertible matrix

A singular matrix is a square matrix which is not invertible.[1] Alternatively, a matrix is singular if and only if it has a determinant of 0.[1] When an [math]\displaystyle{ n\times n }[/math] matrix is taken to represent a linear transformation in n-dimensional Euclidean space, it is singular if and only if it maps any n-dimensional hypervolume to a n-dimensional hypervolume of zero volume.