Solve the following linear system by Gaussian elimination. $x_1 + 4x_2 + 4x_3 = 26$ $-x_1 - 5x_2 + 5x_3 = 8$ $3x_1 - 4x_2 + 6x_3 = 22$ $x_1 = $ $x_2 = $ $x_3 = $
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First, let's rewrite the given system of linear equations: $$ \begin{cases} x_1 + 4x_2 - 4x_3 = 26 \\ -x_1 + 5x_2 + 5x_3 = 8 \\ 3x_1 + 4x_2 - 6x_3 = -22 \end{cases} $$ Now, let's write the augmented matrix for this system: $$ \left[\begin{array}{ccc|c} 1 & 4 & Show more…
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