# Inverse matrix

An matrix (square matrix) of the form

is called the identity matrix, and denoted by .

Let be an matrix. If there exists an matrix  satisfying and , then is said to be invertible, and is called the inverse of , denoted by . If is not invertible, we call a singular matrix.

In Matlab/Octave the function eye(n) generates the identity matrix. For example,

> eye(5)

creates the identity matrix.

EXAMPLE 1 Find and identity matrix.

Subsections

Department of Mathematics