Solution To Linear System By Inverse Method

Solution to Linear System by Inverse Method:

If A is an n \times \!\, n matrix then the linear system AX = B is a system of n equations in m unknown. Suppose that A is a non-singular. Then A-1 exists and we can multiply,

      AX = B

By A-1 on the both side we get;

Moreover, X = A-1B is clearly solution to the given linear system. If A is nonsingular, we have a unique solution;

Example- Consider the system

The matrix operation corresponding to the system is;

Example- Consider the system