Mathematical Methods in the Physical Sciences · Problem 2.10

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} 2p + r - 2s = -2 \\ 5q - r + 4s = 7 \\ 2r + s + t = 0 \\ 3p + q - 4t = 1 \\ p + q - r + 2t = 3 \end{cases}