Mathematical Methods in the Physical Sciences · Problem 2.7

LINEAR EQUATIONS; VECTORS, MATRICES, AND DETERMINANTS — Mary Boas

Mathematics — Methods · row-reduction-linear-equations

Problem

Solve the following set of equations by reducing the matrix to row echelon form:

\begin{cases} x - 2y = 4 \\ 5x + z = 7 \\ x + 2y - z = 3 \end{cases}