Mathematical Methods in the Physical Sciences · Problem 2.9

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} 3x - z + 2u = 1 \\ 2y + z - 3u + 4v = 2 \\ z - u + 8v = 3 \\ 4x + 2y + u - 2v = 0 \\ x + 4y + 4u = 2 \end{cases}