Suppose that a, b € Vand S V2 are given. By expressing these quantities in a coordinate frame, or otherwise, prove the following identities: (d) tr (ab) = a · b, (e) (ab): S = (Sb) - a.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that a, be V and S E V² are given. By expressing these quantities
in a coordinate frame, or otherwise, prove the following identities:
(d) tr(a ® b) = a · b,
%3D
(e) (a®b) : S = (Sb) · a.
Transcribed Image Text:Suppose that a, be V and S E V² are given. By expressing these quantities in a coordinate frame, or otherwise, prove the following identities: (d) tr(a ® b) = a · b, %3D (e) (a®b) : S = (Sb) · a.
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