V. Let u = (U₁, U₂), v = (v₁, v¹₂) € C².1. Show that (u, v) = 2u₁v₁ + 3u₂v₂ defines an inner product on C².2. Explain why |2u₁ +3₂V₂] ≤ (2|u₁|² +3|u₂|²) (2|v₁|² +3|v₂|²) } .

Answered: Image /qna-images/answer/34ba6762-59e9-42ad-b3e6-299c317938e5.jpg

Answered: u= (₁, ₂), v = (v₁, v₂) € C². Show that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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u= (₁, ₂), v = (v₁, v₂) € C². Show that (u, v) = 2u1v1 +3u₂v2 defines an inner product on C². Explain why |2u₁₁+3u₂v₂ ≤ (2|u₁|² +3|u₂|²) (2|v₁|² +3|v₂|²) 1.