Solve the initial value problem for the linear system a' = Ax in dimension 3, where %3D 7 -1 A= |1 -1 3 4 with x(0) = [3, 1, –3]". The characteristic polynomial of the matrix A equals p(A) = –(A – 6)²(A – 4).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Solve the initial value problem for the linear system a' = Ax in dimension 3, where
%3D
7
-1
A= |1
-1
3
4
with x(0) = [3, 1, –3]". The characteristic polynomial of the matrix A equals p(A) = –(A – 6)²(A – 4).
Transcribed Image Text:Solve the initial value problem for the linear system a' = Ax in dimension 3, where %3D 7 -1 A= |1 -1 3 4 with x(0) = [3, 1, –3]". The characteristic polynomial of the matrix A equals p(A) = –(A – 6)²(A – 4).
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