Consider the linear system X' = AX, where A is a 2 x 2 matrix with eigenvectors %3D and corresponding to the eigenvalues ŋ = -1 and r2 = 2, respectively. Find the funda- mental matrix of the system such that D(0) = I.

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 18EQ
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how to find the fundamental matrix © of the system such that ©(0) = I?

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Consider the linear system X = AX, where A is a 2 x 2 matrix with eigenvectors
G and ) corresponding to the eigenvalues rį = -1 and r2 = 2, respectively. Find the funda-
mental matrix O of the system such that ¤(0) = I.
Transcribed Image Text:Consider the linear system X = AX, where A is a 2 x 2 matrix with eigenvectors G and ) corresponding to the eigenvalues rį = -1 and r2 = 2, respectively. Find the funda- mental matrix O of the system such that ¤(0) = I.
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