Linear Algebra and Its Applications · Problem 3.1.9

Orthogonality — Gilbert Strang

Mathematics · orthogonal-vectors-subspaces

Problem

Find the orthogonal complement of the plane spanned by the vectors

(1,1,2)

and

(1,2,3)

, by taking these to be the rows of

A

and solving

Ax = 0

. Remember that the complement is a whole line.