A First Course in Linear Algebra · Problem MISLE.C40

Matrices — Robert Beezer

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

Problem

Find all solutions to the system of equations below, making use of the matrix inverse found in Exercise MISLE.C28.

\begin{aligned} x_1 + x_2 + 3x_3 + x_4 &= -4 \\ -2x_1 - x_2 - 4x_3 - x_4 &= 4 \\ x_1 + 4x_2 + 10x_3 + 2x_4 &= -20 \\ -2x_1 - 4x_3 + 5x_4 &= 9 \end{aligned}