Instructions: Read textbook pages 37 to 38 and 43 to 45 before working on the homework problems. Show all steps to get full credits.
- Textbook page 42, Chapter 4 problem 22.
- Show that if V is a vector space with a real valued inner product <,>, then for any .
- Suppose that V is a vector space with inner product <,> and u,v ∈ V,|u − v| = 3,|u + v| = 7, find < u,v > and |u|2 + |v|2.
