Computation of Inverse of N − Square ( Matrices Using Crammer’s Rule for the Solution of Linear Equations
Keywords:
15A09, MSC 2010: 15A06, linear system of equations, inverse, rank, Cofactors, Crammer’s ruleAbstract
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.
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