Consider the linear systemdx₁dtdx₂dt= 4x1 - 3x₂= 3x1 + 4x2.1. Show that upon conversion to the form X'= AX, the eigenvalues of A are complex.2. Find the general solution of the system.

Answered: Consider the linear system dx₁ dt dx₂…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 44E

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Consider the linear system dx₁ dt dx₂ dt = 4x1 - 3x2 3x1 +4x2. 1. Show that upon conversion to the form X'= AX, the eigenvalues of A are complex. 2. Find the general solution of the system.