Linear Algebra and Its Applications · Problem 1.3.11

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

Apply elimination (circle the pivots) and back-substitution to solve

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

List the three row operations: Subtract \_\_\_\_ times row \_\_\_\_ from row \_\_\_\_.