Linear Algebra and Its Applications · Problem 3.1.10

Orthogonality — Gilbert Strang

Mathematics · orthogonal-vectors-subspaces

Problem

Construct a homogeneous equation in three unknowns whose solutions are the linear combinations of the vectors

(1,1,2)

and

(1,2,3)

. This is the reverse of the previous exercise, but the two problems are really the same.