Linear Algebra and Its Applications · Problem 1.3.17

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

Which number

q

makes this system singular and which right-hand side

t

gives it infinitely many solutions? Find the solution that has

z = 1

\begin{aligned} x + 4y - 2z &= 1 \\ x + 7y - 6z &= 6 \\ 3y + qz &= t. \end{aligned}