Recent content by EBMath

Ah, I see...this implies <Tv,Tv>=0, a contradiction, right? Thanks!

How would you diagonalize: \left( \begin{array}{cc} 0 & -1\\ 1 & 0 \end{array} \right) over the reals? The problem does not specify that V is a complex space.

Hm...can I bump this? I'm struggling with this same problem. First...this is a normal operator in an arbitrary inner product space, so I don't see how we know there is an orthonormal basis of eigenvectors. Also, I have a hunch that there is a less mechanical way to show this...