User:Howard Geraint Ricketts~enwiki/Test page

stuff

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

"Matrixy" stuff

$I_{2}\equiv {\begin{pmatrix}1&0\\0&1\end{pmatrix}}$

eigenvalues and eigenvectors

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

$M\equiv {\begin{pmatrix}4&2\\1&3\end{pmatrix}}$

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.