: (2,5) in R². Let u = (1, –3) and v = (a) Find (u, v) and ||v|| with respect to the standard inner product on R?. (b) Find (u, v) and ||v|| with respect to the inner product defined on R? by ((T1, T2), (Y1, Y2)) = x1Y1 – 201Y2 – 2x2y1 + 5x2Y2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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ONLY FOR PART (a): use the standard inner product, that is the dot product, on Rn

: (2,5) in R².
Let u = (1, –3) and v =
(a) Find (u, v) and ||v|| with respect to the standard inner product on R?.
(b) Find (u, v) and ||v|| with respect to the inner product defined on R? by
((T1, T2), (Y1, Y2))
= x1Y1 – 201Y2 – 2x2y1 + 5x2Y2.
Transcribed Image Text:: (2,5) in R². Let u = (1, –3) and v = (a) Find (u, v) and ||v|| with respect to the standard inner product on R?. (b) Find (u, v) and ||v|| with respect to the inner product defined on R? by ((T1, T2), (Y1, Y2)) = x1Y1 – 201Y2 – 2x2y1 + 5x2Y2.
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