Linear Algebra and Its Applications · Problem 1.3.6

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

Choose a coefficient

b

that makes this system singular. Then choose a right-hand side

g

that makes it solvable. Find two solutions in that singular case.

\begin{aligned} 2x + by &= 16 \\ 4x + 8y &= g. \end{aligned}