# Singular Matrix - A Matrix With No Inverse

In these lessons we learn what a singular matrix is and how to tell when a matrix is singular.

A singular matrix is a matrix has no inverse. A matrix has no inverse if and only if its determinant is 0.

#### Singular Matrices

When and why you can’t invert a matrix.

#### Invertible Square Matrices And Determinants

In order to determine if a matrix is an invertible square matrix, or a square matrix with an inverse, we can use determinants. The only matrix with a non-zero determinant is an invertible square matrix. An invertible square matrix represents a system of equations with a regular solution, and a non-invertible square matrix can represent a system of equations with no or infinite solutions.

This lesson will explain the concept of a “singular” matrix, and then show you how to quickly determine whether a 2&times2 matrix is singular

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 