When it is defined, the matrix (P + PT) is always symmetric. Similarly, the matrix (P - PT) is always antisymmetric. Find a symmetric matrix S and antisymmetric matrix A such that 2 3 -1 -4 -4 2 P=S+ A, where P S C -1 -5
When it is defined, the matrix (P + PT) is always symmetric. Similarly, the matrix (P - PT) is always antisymmetric. Find a symmetric matrix S and antisymmetric matrix A such that 2 3 -1 -4 -4 2 P=S+ A, where P S C -1 -5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:When it is defined, the matrix (P +PT) is always symmetric. Similarly,
the matrix (P – PT) is always antisymmetric.
Find a symmetric matrix S and antisymmetric matrix A such that
2
3
1
4 -1 -4
2
5
-4
P = S+ A, where P
S =
A
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