A First Course in Linear Algebra · Problem MISLE.C42

Matrices — Robert Beezer

Mathematics — Linear Algebra · solving-systems-via-inverse

Problem

Use a matrix inverse to solve the linear system of equations. x1−x2+2x3=5x1−2x3=−82x1−x2−x3=−6\begin{aligned} x_1 - x_2 + 2x_3 &= 5 \\ x_1 - 2x_3 &= -8 \\ 2x_1 - x_2 - x_3 &= -6 \end{aligned}

Related theory

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