How do I go about showing this:
Let . Show that if is orthogonal to each , for , then is orthogonal to every vector in .
you test for orthogonality by taking the _____? product. what's the magic number?
is this ____? product bi-linear (linear in each variable? or conjugate-linear if you are using complex numbers)?
if it is, can you break a ____? product down into sums of _____? products?
is 0+0+...+0 still zero?