A First Course in Linear Algebra · Problem C14

Systems of Linear Equations — Robert Beezer

Mathematics — Linear Algebra · solve-linear-system-rref-computer

Problem

Find all solutions to the system of linear equations. Use your favorite computing device to row-reduce the augmented matrices for the systems, and write the solutions as a set, using correct set notation. 2x1+x2+7x3−2x4=43x1−2x2+11x4=13x1+x2+5x3−3x4=1\begin{aligned} 2x_1 + x_2 + 7x_3 - 2x_4 &= 4\\ 3x_1 - 2x_2 + 11x_4 &= 13\\ x_1 + x_2 + 5x_3 - 3x_4 &= 1 \end{aligned}

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