Finite-dimensional Inner Product Assignment | Assignment Help Services
September 12th, 2019
Completely lost in this question any help would mean so much, practice midterm question.
Let V be a ﬁnite-dimensional inner product space and suppose that Sand T are self-adjoint. Prove that if ST 2 TS then there exists anorthonormal basis (’01, . . . gun) of V which is an eigenbasis for both 8and T. (hint: the A-eigenspace for 8′ is invariant for T and Vice versa)