Linear Algebra and Its Applications · Problem 1.2.23

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · geometry-of-linear-equations

Problem

In these equations, the third column (multiplying

w

) is the same as the right side

b

. The column form of the equations immediately gives what solution for

(u,v,w)

\begin{aligned} 6u + 7v + 8w &= 8 \\ 4u + 5v + 9w &= 9 \\ 2u - 2v + 7w &= 7. \end{aligned}