A First Course in Linear Algebra · Problem MINM.C40

Matrices — Robert Beezer

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

Problem

Solve the system of equations below using the inverse of a matrix.

\begin{aligned} x_1 + x_2 + 3x_3 + x_4 &= 5 \\ -2x_1 - x_2 - 4x_3 - x_4 &= -7 \\ x_1 + 4x_2 + 10x_3 + 2x_4 &= 9 \\ -2x_1 - 4x_3 + 5x_4 &= 9 \end{aligned}