Q1-12 Assume that vectors the eigenvalues below belong to 3₁ = [-4+2²] A₁ = 2+2i A₂ = 2-2; V₂ find the [;)]- 2 [3] (write your with sines = Solution 3 -4-21 to and eigen Matrix Z the linear in eigenvalue /ei gen vector answer and syestem of form, as a real function cosines). x (t) [*] ([=]-[=]).*+ ([=] - + [=] - e - (€) C₂

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 18EQ
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Question
Q1.12
Assume that
vectors
below
A₁ = 2 + 2i
^₂ = 2-2i
find
the
[] = []
( write your
with
sines
the eigenvalues
belang to
3
✓₁ = -4+2;
*-=-=[
Solution
3
-4-2:
to
and eigen
Matrix Z
answer
and
the linear
syestem of
form,
as a real function
cosines).
in eigenvalue /e:
igen vector
x (t)
[@] ([=] - [ =)) -* * . (=] + [=] - - *
= C₁
(€)
C₂
-) ₂
e
Transcribed Image Text:Q1.12 Assume that vectors below A₁ = 2 + 2i ^₂ = 2-2i find the [] = [] ( write your with sines the eigenvalues belang to 3 ✓₁ = -4+2; *-=-=[ Solution 3 -4-2: to and eigen Matrix Z answer and the linear syestem of form, as a real function cosines). in eigenvalue /e: igen vector x (t) [@] ([=] - [ =)) -* * . (=] + [=] - - * = C₁ (€) C₂ -) ₂ e
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