Numerical Method20785 marksNumerical: Gauss-Jordan methodGauss-Jordan method
Solve the following set of linear equations using the Gauss-Jordan method.
Solve the following set of linear equations using the Gauss-Jordan method.
$$x_2 + 2x_3 + 3x_4 = 9$$ $$7x_1 + 6x_2 + 5x_3 + 4x_4 = 33$$ $$8x_1 + 9x_2 + x_4 = 27$$ $$2x_1 + 5x_2 + 4x_3 + 3x_4 = 23$$
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$$ \begin{aligned} x2 + 2x3 + 3x4 &= 9 \quad (1)\ 7x1 + 6x2 + 5x3 + 4x4 &= 33 \quad (2)\ 8x1 + 9x2 + 0x3 + x4 &= 27 \quad (3)\ 2x1 + 5x2 + 4x3 + 3x4 &= 23 \quad (4) \end{aligned} $$ $$ \left[\begin{array}{ccccc} 0 & 1 & 2 & 3 & 9 \ 7 & 6 & 5 & 4 & 33 \ 8 & 9 & 0 & 1 & 27 \ 2 & 5 & 4 & 3 & 2...