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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.