2 9 -2 3. Given a matrix A =-6 4 3 -2-3 5 0 22-2 to 205 (a) Decompose A into the symmetric matrix R and anti-symmetric matrix S (b) Find the orthonormal matrix P which can transform R to the diagonal matrix 20 0 D= 0 22 0 by D=P¹RP, where <<. 0 0 23

Structural Analysis
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Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
ChapterB: Graphical Analysis Of Planar Trusses
Section: Chapter Questions
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2
9
-2
3. Given a matrix A =-6
4
3
-2-3 5
0
22-2
to
205
(a) Decompose A into the symmetric matrix R and anti-symmetric matrix S
(b) Find the orthonormal matrix P which can transform R to the diagonal matrix
20
0
D= 0 22 0
by D=P¹RP, where <<.
0 0
23
Transcribed Image Text:2 9 -2 3. Given a matrix A =-6 4 3 -2-3 5 0 22-2 to 205 (a) Decompose A into the symmetric matrix R and anti-symmetric matrix S (b) Find the orthonormal matrix P which can transform R to the diagonal matrix 20 0 D= 0 22 0 by D=P¹RP, where <<. 0 0 23
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