Find all possible solutions of the system $2x_2 - x_3 = -7$ $x_1 + x_2 + 3x_3 = 2$ $-3x_1 + 2x_2 + 2x_3 = -10$
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Step 1: Rewrite the system of equations in matrix form: \[ \begin{bmatrix} 0 & 2 & -1 \\ 1 & 1 & 3 \\ -3 & 2 & 2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} -7 \\ 2 \\ -10 \end{bmatrix} \] Show more…
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