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5. If a= (a1, a,), B = (b,, b,) e V,(R) then show that (a, B) = a,b, – a,b, -'a,b, + 4a,b, defines an inner product on V, (R). %3D

5. If a= (a1, a,), B = (b,, b,) e V,(R) then show that (a, B) = a,b, – a,b, -'a,b, + 4a,b, defines an inner product on V, (R). %3D

Advanced Engineering Mathematics
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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5. If a%3D (а, а,), В 3 (b, b,) € V,(R) then show that (a, B) = a,b, – a,b, -'a,b, + 4a,b, defines an inner product on V, (R).
Transcribed Image Text:5. If a%3D (а, а,), В 3 (b, b,) € V,(R) then show that (a, B) = a,b, – a,b, -'a,b, + 4a,b, defines an inner product on V, (R).
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