Justify that (•, ·) defines an inner product on R?. the function (', ·) defined on R? as follows: U1 where u = V1 (u, v) := 5u1v1 – 2u1v2 – 2uzv1 + 4u2v2, E R² V = U2 V2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Justify that (•, ·) defines an inner product on R?.
the function (', ·) defined on R? as follows:
(u, v)
:= 5u1v1 – 2u1V2 – 2uzv1 + 4uQV2,
U1
where u =
v1
V =
E R?
U2
V2
Transcribed Image Text:Justify that (•, ·) defines an inner product on R?. the function (', ·) defined on R? as follows: (u, v) := 5u1v1 – 2u1V2 – 2uzv1 + 4uQV2, U1 where u = v1 V = E R? U2 V2
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