eigenvector (original) (raw)

for some scalar λ, i.e. such that the image of x under the transformation A is a scalar of x. One can similarly define left eigenvectors in the case that A acts on the right.

to find a form which characterizes the eigenvector xi (any of xi is also an eigenvector). Of course, this is not necessarily the best way to do it; for this, see singular value decomposition.