2. For the following systems with complex eigenvalues, find the general solu (4) x² - ( 1 ) x x' -5 3 (b) x'=-3x - 2y, y' (c) x' = 3x - 4y, y' = = 9x + 3y 4x + 3y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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Please answer the following questions with full handwritten working
2. For the following systems with complex eigenvalues, find the general solutions:
-5
(a) x² - ( 13¹ ) x
(1
X'
X
(b) x' =-3x - 2y, y'
(c) x¹ = 3x – 4y, y'
=
= 9x
3y
4x + 3y
Transcribed Image Text:2. For the following systems with complex eigenvalues, find the general solutions: -5 (a) x² - ( 13¹ ) x (1 X' X (b) x' =-3x - 2y, y' (c) x¹ = 3x – 4y, y' = = 9x 3y 4x + 3y
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