If the determinant of the matrix is zero, then it will not have an inverse; the matrix is then said to be singular. Only non-singular matrices have inverses. Find the inverse of the matrix A = ( 3 1 4 2 ). ... Because the determinant is zero the matrix is singular and no inverse exists.

Does a singular matrix have an inverse?

The multiplicative inverse of a square matrix is called its inverse matrix. If a matrix A has an inverse, then A is said to be nonsingular or invertible. A singular matrix does not have an inverse.

What does it mean when a matrix does not have an inverse?

Matrix A is not a full rank matrix. Therefore, matrix A does not have an inverse, which means that matrix A is singular.