Eigenvectors

Vectors that stay on their own span during a transformation.
Can be considered the axis of rotation for a rotation transformation.
A v = (lambda) v =(lambda) * I
A - (lambda ) v gives 0
Non zero solution v soluton
Product of a matrix with a non zero vector will only be possible if it reduces dimension
If there are no real number solutions, then there are no eigenvectors
Diagonal matrix – all the basis vectors are eigen vectors, with eigen values as the diagonal values