Matrix invers method
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This method can be applied only when the coefficient matrix is a square matrix and non-singular.
Consider the matrix equation.
AX = B , … ( ...
where A is a square matrix and non-singular. Since A is non-singular, A−1 exists and A−1 A = AA−1 = I. Pre-multiplying both sides of (1) by A−1, we get A−1 ( AX ) = A−1B.
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