a) A real 2x2 matrix A has the eigen pairs (4.(-3)) & ( 1,(1)) Give a general solution to the linear planar system x's AX b) Give an ivertible matrix v and diagonal matrix D that diagonlize compute the matrix exponential eta d) sketch a phase-plane portrait for this systems and identity is type. classify the stability of the origin, Mark alls ketched -bits with arrows to indicate their direction..

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 29EQ
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-8
--value problem
ers and second contain
filled with brine s
2x2 matrix A has the eigen pairs (-4, (+3)) { (-1,(;))
a general solution to the linear planar system x'-AX
A.
Give an ivertible matrix V and diagonal matrix & that diagonlize
c) compute the matrix exponential eta
¹) sketch a phase-plane portrait for this systems and identity
its type. classify the stability of the origin, Mark alls ketched
bits
with
arrows to indicate their direction..
A real
a) Give
tion.org | #ICNAC
in Mohamma
VALDING
Mession Conting
Transcribed Image Text:-8 --value problem ers and second contain filled with brine s 2x2 matrix A has the eigen pairs (-4, (+3)) { (-1,(;)) a general solution to the linear planar system x'-AX A. Give an ivertible matrix V and diagonal matrix & that diagonlize c) compute the matrix exponential eta ¹) sketch a phase-plane portrait for this systems and identity its type. classify the stability of the origin, Mark alls ketched bits with arrows to indicate their direction.. A real a) Give tion.org | #ICNAC in Mohamma VALDING Mession Conting
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