A First Course in Linear Algebra · Problem C18

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. x1+2x2−4x3−x4=32x1+3x2−7x3−x5=33x1+2x3−2x4+3x5=22\begin{aligned} x_1 + 2x_2 - 4x_3 - x_4 &= 32\\ x_1 + 3x_2 - 7x_3 - x_5 &= 33\\ x_1 + 2x_3 - 2x_4 + 3x_5 &= 22 \end{aligned}

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