Beautiful interactive linear transformations applets (by
David Austin),
showing the effect of T(x)=Ax where
A is a 2x2 matrix:
Transformation of a
single
vector (red vector x
can be dragged, the result Ax is shown in
grey, the matrix A sits at the top
of the screen with its entries given by slider-bars i.e.
number lines).
Google's Pagerank algorithm
explained and
again; when d=1
it is simply the eigenvector
of the Markov chain given by the web links, whose eigenvalue is 1 !
Also see the
original paper.