For the following systems, the origin is the equilibrium point.dxa) Write each system in matrix form = Ax.dtb)Determine the eigenvalues of A.c) State whether the origin is a stable or unstable equilibrium.d)State whether the origin is a node, saddle point, spiral point, or center.e)State the equations of the straight-line trajectories and tell whether they are goingtowards or away from the origin. If none exist, state so.f)If A has real eigenvalues, then determine the eigenvectors and use diagonalization tosolve the system. (See examples in Section 7.4)6.dxdtdydt= 2x - 8y= x - 2y

Answered: Image /qna-images/answer/3433750f-7ec8-4e53-b3fc-b70616c0d081.jpg

the following systems, the origin is the equilibrium point. a) Write each system in matrix form=Ax. dt b) Determine the eigenvalues of A. c) State whether the origin is a stable or unstable equilibrium. d) State whether the origin is a node, saddle point, spiral point, or cen e) State the equations of the straight-line trajectories and tell whethe towards or away from the origin. If none exist, state so. f) If A has real eigenvalues, then determine the eigenvectors and use solve the system. (See examples in Section 7.4) dx = 2x - 8y

the following systems, the origin is the equilibrium point. a) Write each system in matrix form=Ax. dt b) Determine the eigenvalues of A. c) State whether the origin is a stable or unstable equilibrium. d) State whether the origin is a node, saddle point, spiral point, or cen e) State the equations of the straight-line trajectories and tell whethe towards or away from the origin. If none exist, state so. f) If A has real eigenvalues, then determine the eigenvectors and use solve the system. (See examples in Section 7.4) dx = 2x - 8y

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 32E

See similar textbooks