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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
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 =
Transcribed Image Text: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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