-Plot the veotor plot Ci.e: on the x,X -plane) Using partioular 'solution and xCt)→ Ca) when t=2 , approximade vawes of xú) -, C6) when te 2 %3D Pwhat is the maximom valwe of x, in the interval 2162.when does it oecur? what is the maxímum valve qf x, in the same interval ? When does it occur ? 2/ www.desmos.com/calculator

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 27EQ
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Consider the dx2 system of CDES, where Xli)=(x()
some real - valvcel funetions ,t)and x Ct)
X(1) = () x4) , x(0)-(-3)
Eigen values and eigen vectors
k= -| - dí
a) eig envalwes
Landl
2 eigenveetors are v, =
a General soutin:
X(4)=c+| di (e,- e)eosat - 2le,1c) sündt
le,e) cosat + le,-e,) isirot
a Par ticular sowion:
4 eos2t + 6sinLI
-) X (4) =
- 3 cos 24 t 2sindt
Questions:
I> Plot the veotor plot Ci.e: on the x,x - plane)
2) Uşing particular'solwtion , approximale vawes of xú)
and xCt)Ca) when t=, C6) when te 2
C6) when tz 2
3> what is the maximum valwe of x, in the interval
0142. whur does it occur?
4)what is the maximum vaweIAcu(?
in the same
inter val ? When ddes it oceur?
2/2
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Transcribed Image Text:Consider the dx2 system of CDES, where Xli)=(x() some real - valvcel funetions ,t)and x Ct) X(1) = () x4) , x(0)-(-3) Eigen values and eigen vectors k= -| - dí a) eig envalwes Landl 2 eigenveetors are v, = a General soutin: X(4)=c+| di (e,- e)eosat - 2le,1c) sündt le,e) cosat + le,-e,) isirot a Par ticular sowion: 4 eos2t + 6sinLI -) X (4) = - 3 cos 24 t 2sindt Questions: I> Plot the veotor plot Ci.e: on the x,x - plane) 2) Uşing particular'solwtion , approximale vawes of xú) and xCt)Ca) when t=, C6) when te 2 C6) when tz 2 3> what is the maximum valwe of x, in the interval 0142. whur does it occur? 4)what is the maximum vaweIAcu(? in the same inter val ? When ddes it oceur? 2/2 https://www.desmos.com/calculator
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