Linear Algebra and Its Applications · Problem 1.3.5

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

Choose a right-hand side which gives no solution and another right-hand side which gives infinitely many solutions. What are two of those solutions?

\begin{aligned} 3x + 2y &= 10 \\ 6x + 4y &= \underline{\hspace{1cm}}. \end{aligned}