A First Course in Linear Algebra · Problem MISLE.C41

Matrices — Robert Beezer

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

Problem

Use the inverse of a matrix to find all the solutions to the following system of equations.

\begin{aligned} x_1 + 2x_2 - x_3 &= -3 \\ 2x_1 + 5x_2 - x_3 &= -4 \\ -x_1 - 4x_2 &= 2 \end{aligned}