Linear Algebra and Its Applications · Problem 3.1.42

Orthogonality — Gilbert Strang

Mathematics · orthogonal-subspaces

Problem

Suppose

S

is spanned by the vectors

(1,2,2,3)

and

(1,3,3,2)

. Find two vectors that span

S^\perp

. This is the same as solving

Ax = 0

for which

A