Vector space/Endomorphism/Invariant linear subspace/Polynomial/Exercise
Let be a field, let be a -vector space, and let
a linear mapping. Let be a -invariant linear subspace of . Show that, for a polynomial , the space is also -invariant.
Let be a field, let be a -vector space, and let
a linear mapping. Let be a -invariant linear subspace of . Show that, for a polynomial , the space is also -invariant.