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Find the solution of the following set of equations using (a) Gauss-Jordan elimination method, (b) LU decomposition method and to obtain inverse of the coefficient
Find the solution of the following set of equations using (a) Gauss-Jordan elimination method, (b) LU decomposition method and to obtain inverse of the coefficient matrix to compute the solution. Verify your result. Apply to one more case of the right hand side (RHS) vector [6 12 22] for its solution. 2x_1 - x_2 + x_2 = 4 4x_1 + 3x_2 - x_3 = 6 3x_1 + 2x_2 + 2x_3 = 15
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