Linear Algebra and Its Applications · Problem 1.3.24

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

Solve the system and find the pivots when

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

You may carry the right-hand side as a fifth column (and omit writing

u

v

w

z

until the solution at the end).