Given matrix M below, [sin² A sin A cos A M sin? B sin B cos B Co Lsin? C sin C cos C CO Show that det M = sin (A - B) sin(B – C) sin(C – A)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
ChapterB: Graphical Analysis Of Planar Trusses
Section: Chapter Questions
Problem 2P
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2. Given matrix M below,
[sin2 A
sin A cos A
cos2
AT
sin B cos B cos² B
cos2 CJ
M
sin? B
Lsin? C
sin C cos C
Show that det M = sin (A – B) sin (B – C) sin (C - A)
Transcribed Image Text:2. Given matrix M below, [sin2 A sin A cos A cos2 AT sin B cos B cos² B cos2 CJ M sin? B Lsin? C sin C cos C Show that det M = sin (A – B) sin (B – C) sin (C - A)
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ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,