Inverse of Matrix - Tutorial

Inverse of Matrix - Tutorial

Inverse of Matrix :

Let A be a non-singular matrix. If there exists a square matrix B such that AB = I (identity matrix) then B is called inverse of matrix A and is denoted as A-1. i.e AA-1 = I

Example:
Matrix A Matrix B = Identity (I)
131
112
234
x
29-5
0-21
-1-32
=
100
010
001

In the above example Matrix A when multiplied by Matrix B gives an identity matrix. So we can call B as an inverse of A or A as an inverse of B.

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