Instructions: Read textbook pages 37 to 38 and 43 to 45 before working on the homework problems. Show all steps to get full credits.
- Prove that indeed defines a norm for x ∈ Cn.
- Prove that 1 and ∞ norms in Cn are equivalent in the sense that kxk∞ ≤ kxk1 ≤ nkxk∞ for all x ∈ Cn.
