User:Howard Geraint Ricketts~enwiki/Test page

stuff

The basics and examples of writing Mathematical stuff is found at Help:Formula.

"Matrixy" stuff

$I_2\equiv \left(\begin{array}{cc}1& 0\\ 0& 1\end{array}\right)$

eigenvalues and eigenvectors

for example let M be some kind of 2 x 2 matrix

$M\equiv \left(\begin{array}{cc}4& 2\\ 1& 3\end{array}\right)$

now let us suppose that p is a two dimensional vector there may be certain values of p such that

$Mp=\lambda p$

in two dimensions this is like saying that there are certain lines that are invariant under the transformation M. Of course the individual points may move under a transformation (unless $\lambda =1$) but the actual line will remain unaltered.