Solve the following system of equations using Gauss Jordan method
x_{1} + x_{2} + x_{1} + x_{4} = 2, 2x_{1} - x_{2} + 2x_{3} - x_{4} = - 5, 3x_{1} + 2x_{2} + 3x_{1} + 4x_{4} = 7, x_{1} - 2x_{2} - 3x_{4} + 2x_{4} = 5
Solve the following system of equations using Gauss Jordan method
x_{1} + x_{2} + x_{1} + x_{4} = 2, 2x_{1} - x_{2} + 2x_{3} - x_{4} = - 5, 3x_{1} + 2x_{2} + 3x_{1} + 4x_{4} = 7, x_{1} - 2x_{2} - 3x_{4} + 2x_{4} = 5