Linear Algebra and Its Applications · Problem 3.1.19

Orthogonality — Gilbert Strang

Mathematics · orthogonal-vectors-subspaces

Problem

Why are these statements false? ((a)) If

V

is orthogonal to

W

, then

V^\perp

is orthogonal to

W^\perp

. ((b))

V

orthogonal to

W

and

W

orthogonal to

Z

makes

V

orthogonal to

Z