Linear Algebra and Its Applications · Problem 1.3.22

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

Apply elimination and back-substitution to solve

\begin{aligned} 2u + 3v &= 0 \\ 4u + 5v + w &= 3 \\ 2u - v - 3w &= 5. \end{aligned}

What are the pivots? List the three operations in which a multiple of one row is subtracted from another.