A = Consider the first order linear system y'= Ay where the coefficient matrix 5 -3 3 0 2 0 has eigenvalues 2, 2 and 1. -4 4-2 Find the general solution of the system using eigenpair method only and verify that three solutions form a fundamental set. (Show all necessary work for the row operations to get a full credit)

A = Consider the first order linear system y'= Ay where the coefficient matrix 5 -3 3 0 2 0 has eigenvalues 2, 2 and 1. -4 4-2 Find the general solution of the system using eigenpair method only and verify that three solutions form a fundamental set. (Show all necessary work for the row operations to get a full credit)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2.
Consider the first order linear system y' = Ay where the coefficient matrix
5 -3 3
0 2 0 has eigenvalues 2, 2 and 1.
-4 4 -2
Find the general solution of the system using eigenpair method only and verify that three
solutions form a fundamental set. (Show all necessary work for the row operations to
get a full credit)
A =

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