A First Course in Linear Algebra · Problem RQ-RREF-3

Systems of Linear Equations — Robert Beezer

Mathematics — Linear Algebra · solve-system-augmented-matrix-rref

Problem

Find all the solutions to the system below by using an augmented matrix and row operations. Report your final matrix in reduced row-echelon form and the set of solutions. 2x1+3x2−x3=0x1+2x2+x3=3x1+3x2+3x3=7\begin{aligned} 2x_1 + 3x_2 - x_3 &= 0\\ x_1 + 2x_2 + x_3 &= 3\\ x_1 + 3x_2 + 3x_3 &= 7 \end{aligned}

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