Unfortunately, no one can be told what The Matrix is. You'll have to see it for yourself.
HomePage
PmWiki
pmwiki.org
This simple tool displays the angle {$\theta^2$} between two wavefunctions. This is defined as
{$1-\theta^2/2 = \cos \theta = \langle A | B \rangle / ||A|| \; ||B||$}
usage: mp-diff <psi1> <psi2>