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
| Matrix A | Matrix B | = | Identity (I) | ||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| x |
| = |
|
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.
