Generalized inverse

A generalized inverse of a matrix is a broader concept than the ordinary matrix inverse, which only exists for square matrices that are nonsingular (i.e., matrices that have a non-zero determinant). Generalized inverses can be defined for any matrix, whether it is square, rectangular, singular, or nonsingular. ### Types of Generalized Inverses The most commonly used type of generalized inverse is the Moore-Penrose pseudoinverse.