Linear Algebra and Its Applications · Problem 1.3.10

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

Reduce this system to upper triangular form by two row operations:

\begin{aligned} 2x + 3y + z &= 8 \\ 4x + 7y + 5z &= 20 \\ - 2y + 2z &= 0. \end{aligned}

Circle the pivots. Solve by back-substitution for

z

y

x