While reading problems in my physics book , I encountered a statement very often "Eigen Value Problem" , I read about it from many sources , but wasn't able to understand it . So what exactly is an Eigen Value Problem?
That's a long page and the only mention of the Eigen Value problem seems to be right at the beginning where it says "re-directed from Eigen Value problem".
## A ## is not a vector. It is a linear operator.Let A=Any vector, x=eigen vector, e=eigen value
The definition of eigenvalue is the following
Ax=ex [where x=eigen vector corresponding to this value],this allows us to find particular values e whereby we can map the vector A into a multiple of itself.