has Eigenvalue R = 5 + 2i with Eigenvectors A and A, R 5 4 Find the General Solution of our System of Differential Equations. A = C, es cos(21) C,el sin(21) y B. c, c C, os(5t) sin(21) + c, cos(51) + sin(21) -2 cos(21) sin(21) C, es1 cos(21) + sin(2 t) D = C, es' cos(2 t) + c,est sin(21) %3D cos(2 c1) sin (21) C,es c cos(2 1) + sin(21) E
has Eigenvalue R = 5 + 2i with Eigenvectors A and A, R 5 4 Find the General Solution of our System of Differential Equations. A = C, es cos(21) C,el sin(21) y B. c, c C, os(5t) sin(21) + c, cos(51) + sin(21) -2 cos(21) sin(21) C, es1 cos(21) + sin(2 t) D = C, es' cos(2 t) + c,est sin(21) %3D cos(2 c1) sin (21) C,es c cos(2 1) + sin(21) E
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 1BEXP
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Question
q5
Transcribed Image Text:Given the following System of Differential Equations and its Eigenvalues and Eigenvectors
has Eigenvalue R = 5 + 2i with Eigenvectors A
and A, =
=
4
R
- 2
Find the General Solution of our System of Differential Equations.
A
= C, e' cos(21)
c, est sin(21)
%3D
COS
-2
B
C,
os(5 t)
sin(21)
+ c, cos(51)
+ sin(2t)
-2
-2
cos(2t)
sin(2t)
cos(21)
%3D
C, est
+ sin(21)
-2
-2
esi cos(21)
C, st sin(21)
y
-2
cos(21)
0.
sin(2t)
C,es cos(21)
+ sin(21)
-2
-2
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