Knowen - Definition of nonsingular matrix: the associated homogeneous linear system has only the trivial solution

Created almost 9 years ago, updated 5 months ago

ID23642

Definition: An $n \times n$ matrix $A$ is nonsingular if the homogeneous system $Ax = 0$ has only the trivial solution $x = 0$.

**Definition:** An $n \times n$ matrix $A$ is nonsingular if the homogeneous system $Ax = 0$ has only the trivial solution $x = 0$.