Linear Algebra and Its Applications · Problem 1.3.9

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

What test on

b_1

and

b_2

decides whether these two equations allow a solution? How many solutions will they have? Draw the column picture.

\begin{aligned} 3x - 2y &= b_1 \\ 6x - 4y &= b_2. \end{aligned}