Linear Algebra and Its Applications · Problem 1.3.3

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

What multiple of equation 2 should be subtracted from equation 3?

\begin{aligned} 2x - 4y &= 6 \\ -x + 5y &= 0. \end{aligned}

After this elimination step, solve the triangular system. If the right-hand side changes to

(-6,0)

, what is the new solution?