singular matrix

A singular matrix is a square matrix that does not have an inverse. In other words, if a matrix is singular, then it cannot be inverted. This means that there is no matrix B such that AB = BA = I, where A is the singular matrix and I is the identity matrix. Singular matrices are also known as degenerate matrices. In practical terms, a singular matrix represents a system of linear equations that does not have a unique solution or a matrix transformation that collapses the space of the original matrix.