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Finding inverse of a square matrix using Gauss Elimination
Given a matrix A, its inverse can be found by solving A X = I where X is of the same size as A and I is a unit matrix the same size as A.
You then form the augmented matrix
(A|I)And convert the augmented matrix to a reduced form
(I|X)using Gauss elimination. Then X is the inverse of A.
Matrix Inverse Problem 1
Matrix Inverse Problem 2
Matrix Inverse Problem 3