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Linear AlgebraHardRow Reduction & Rank

Row Reduction & Rank · Hard problem

Solve the system {2x1−1x2+4x3=−101x1+2x2+2x3=−54x1−3x2+2x3=−2\begin{cases} 2x_1 - 1x_2 + 4x_3 = -10 \\ 1x_1 + 2x_2 + 2x_3 = -5 \\ 4x_1 - 3x_2 + 2x_3 = -2 \end{cases} and give x1x_1, x2x_2, x3x_3.