Inverse Matrix

The inverse matrix is an important entity when doing matrix calculations. First we are going to define what an inverse matrix is and then we will discuss how to calculate inverse matrix. Finding the inverse matrix involves a few steps of matrix calculation. There is an inverse matrix algorithm to follow as well as inverse matrix calculator online to help you calculate the inverse matrix.

What is the inverse matrix?

The inverse matrix or inverse of a matrix is a matrix denoted by, , such that when multiplied with A gives the identity matrix or unit matrix ( I ). In another word, the inverse matrix must satisfy the inverse matrix relationship below:

Inverse matrix example

Example of how the inverse of a matrix works:

Can a non-square matrix have an inverse matrix?

No, only a square matrix can have an inverse matrix.

Does every matrix (all matrices) have an inverse matrix?

No, even if the matrix is a square matrix, the inverse matrix does not necessarily exist. This is a question of existence of inverse matrices which can be proven using higher level of math.