A First Course in Linear Algebra · Problem C19

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=6−x1−x2=−23x1+4x2=43x1+5x2=2\begin{aligned} 2x_1 + x_2 &= 6\\ -x_1 - x_2 &= -2\\ 3x_1 + 4x_2 &= 4\\ 3x_1 + 5x_2 &= 2 \end{aligned}

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