Mathematical Methods in the Physical Sciences · Problem 2.3

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} 2x + z = 7 \\ y + 5z = 4 \\ 4x + 6y - 5z = 1 \end{cases}