1. Math
  2. Advanced Math
  3. proof the cauchyschwarz inequality is trivial when y 0...

Question: proof the cauchyschwarz inequality is trivial when y 0...

Question details

Proof. The Cauchy-Schwarz Inequality is trivial when y = 0. If y tute 1-(x-y)/IlyP into (3) to obtain 0, substi- 2 (x-y) y 12 It follows that 0 < llxl--(x-y)-/llyll2. Solving this inequality for (x-y)2, we conclude that

8.1.3. Use the proof of Theorem 8.5 to show that equality in the Cauchy- Schwarz Inequality holds if and only if x-0. y-0, or x is parallel to y.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution