Math Is Fun Forum

deepz

Member

Registered: 2007-03-20

Posts: 10

Linear Algebra

Hi I need help on a couple of questions.

1) v1,...vr are vectors in Rn and S=Span(v1,...vr). Show that x is an element of the orthogonal complement of S if and only if x is orthogonal to each vj for j=1....r

2)A is an arbitrary matrix, x is in the column space of A. If the A^Tx=0, what is x? (A^T meaning the transpose of A)

Thanks in advance!