Matrix Inverse Using Gauss Jordan Method Algorithm

In linear algebra, Gauss Jordan Method is a procedure for solving systems of linear equation using Row Reduction Technique. In this method, the problem of systems of linear equation having n unknown variables, matrix having rows n and columns n+1 is formed. This matrix is also known as Augmented Matrix. After forming n x n+1 matrix, matrix is transformed to diagonal matrix by row operations.

Gauss Jordan method can also be applied for finding inverse of a matrix by similar row operations.

Algorithm for Finding Inverse of Matrix Gauss Jordan Method

1. Start

2. Read Order of Matrix (n).

3. Read Matrix (A) of Order (n).

4. Augment and Identity Matrix of Order n to Matrix A.

5. Apply Gauss Jordan Elimination on Augmented Matrix (A).

6. Perform Row Operations to Convert the Principal Diagonal to 1.

7. Display the Inverse Matrix.

8. Stop.

Recommended Readings

  1. Matrix Inverse Using Gauss Jordan Method Algorithm
  2. Matrix Inverse Using Gauss Jordan Method Pseudocode
  3. Matrix Inverse Using Gauss Jordan C Program
  4. Matrix Inverse Using Gauss Jordan C++ Program