Linear Algebra and Its Applications · Problem 1.3.19

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

Three planes can fail to have an intersection point, when no two planes are parallel. The system is singular if row 3 of

A

is a \_\_\_\_ of the first two rows. Find a third equation that can't be solved if

x+y+z = 0

and

x-2y-z = 1