In mathematics, "non-singular" refers to a property of a matrix or a function that indicates it has an inverse. A non-singular matrix is one that has a non-zero determinant, meaning it can be used to solve systems of linear equations without ambiguity. This property is crucial in various applications, including computer graphics and engineering. In the context of functions, a non-singular function is one that does not have points where it becomes undefined or behaves erratically. For example, the function f(x) = 1/x is singular at x = 0 but non-singular elsewhere, as it maintains a consistent output for all other values.