This is for #2 & 4 section 8.3 in Hoffman and Kunze's Linear Algebra book. Any help and detailed explanations will be greatly appreciated!
Please see the attached file for the fully formatted problems.
Inner Product Space, Linear Operators, Commutativity and Standard Inner Product are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.