Computation of Inverse of N − Square Matrices Using Crammer’s Rule for the Solution of Linear Equations
E. D. John
Journal Title:Journal of Research in Education and Society
A method for computing the inverse of square matrices is discussed in this work. The aim is to develop an alternative method for the computation of inverse A-1 of an )×) matrix. By employing Crammer’s rule used for the solution of linear system of equations, an inverse of the matrix A is obtained as a coefficient of a catalytic column vector of a supposed solution of linear system of equation . However, a separate computation is not needed for the adjoint of the matrix since this process is absorbed by the Crammer’s rule. Therefore, practical illustrations are given to demonstrate the applicability of the method.