Say I have some mapping in 2D
t(v) = ... that is a tensor. I can find a matrix 2x2
T that represent this tensor, and find the eigenvalues and the eigenvectors of this matrix.
I've been given a task by my lecturer: Transform this matrix
T to the eigen system determined by the normalized eigenvectors.
As I understand it, I should transform this matrix to get the new coordinate system, somehow represented by the eigenvectors. The transformation itself isn't difficult:
What I can seem to figure out is: how do I get the rotation matrix
Any help would be greatly appreciated, Paul