Matrix Inverse Or Inverse of a matrix
Why use matrix inverse ?
The inverse of matrix is used to determined the solution of linear equations through the matrix inverse method.
What is Matrix Inverse or Inverse Of a matrix ?
If A is a non-singular square matrix, there is an existence of n x n matrix i.e A-1, which is called the inverse matrix of A.
For a matrix A, its inverse is A-1, and A.A-1 = I ,where I is the Identity matrix ..The identity matrix for the 2 x 2 matrix is
I = [1 0] for 2 x 2 matrix,
[0 1]
When we determine exist of inverse Matrix ?
For inverse of a matrix to exist:
1) The given matrix should be a square matrix.
2) The determinant of the matrix not equal to zero i.e. Non- Singular matrix .
Example Of Matrixes :-
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