Let b be an inner product on the vector space E. 1) If b(u, v) = 2, |lu|| = 4 and ||v|| = 5 then find b(u + v,u +3v). 2) Prove that ||u-v|| + ||u + v1|² = 2||u||² + 2 ||v||².
Let b be an inner product on the vector space E. 1) If b(u, v) = 2, |lu|| = 4 and ||v|| = 5 then find b(u + v,u +3v). 2) Prove that ||u-v|| + ||u + v1|² = 2||u||² + 2 ||v||².
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Let b be an inner product on the vector space E.
1) If b(u, v) = 2, |lu|| = 4 and ||v|| = 5 then find b(u + v,u+ 3v).
2) Prove that ||uv|| + ||u + v1|² = 2||u||² + 2 ||0|| ².
-
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
