# Matrices, cauchy-schwarz and tringla inqualities?

1. Dec 1, 2009

### LorkFFC

Right I've been given 2 2x2 matrices
A =
|1 1|
|0 1|

B =
|1 0|
|1 1|

And I have to find the triangle
http://images.planetmath.org:8080/cache/objects/1628/js/img2.png
and cauchy schwarz
http://images.planetmath.org:8080/cache/objects/1628/js/img3.png
inequalities with the innerproduct defined as <A,B>=trace(ABt) where Bt is B transpose.

Now I've got no idea how to do it (I really hate matrices) so can someone push me in the right direction? thanks in advance!

Last edited by a moderator: Apr 24, 2017