# Definition of singular matrix (not nonsingular)

Put content here**Definition:** A square matrix $A$ is **singular** if it is not nonsingular, i.e., it does not have an inverse. Equivalently, $\det(A) = 0$, or the columns (rows) are linearly dependent, or the homogeneous system $Ax = 0$ has nontrivial solutions.

# Parents

* Nonsingular matrices and equivalences