# Singular matrix theory

by joshmccraney
Tags: matrix, singular, theory
 P: 319 hey guys given $Ax=B$ where A is a square matrix and x and B are vectors, can anyone tell me why a singular matrix (that is, the determinant = 0) implies one of two situations: infinite solutions or zero solutions? a proof would be nice. i read through pauls notes but there was no proof. thanks all!