A First Course in Linear Algebra · Problem C12

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+4x2+5x3+7x4=−26x1+2x2+x3−x4=−4−2x1−4x2+x3+11x4=−10\begin{aligned} 2x_1 + 4x_2 + 5x_3 + 7x_4 &= -26\\ x_1 + 2x_2 + x_3 - x_4 &= -4\\ -2x_1 - 4x_2 + x_3 + 11x_4 &= -10 \end{aligned}

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