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) |
|
| 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.