Let A be the matrix A = The eigenvalues of A are A = 1 and A = 2, with -2 3 eigenvectors v = H and vz = Now consider the đifferential equation x' = Ax. What is the general solution (in terms of parameters c, and c2?) What is the solution satisfying x(0) = ?

Let A be the matrix A = The eigenvalues of A are A = 1 and A = 2, with -2 3 eigenvectors v = H and vz = Now consider the đifferential equation x' = Ax. What is the general solution (in terms of parameters c, and c2?) What is the solution satisfying x(0) = ?

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

Problem 70EQ

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Question

Please answer the question in the file attached. I do not understand the concept, so please include as much detail as possible.

.Let A be the matriz A =
The eigenvalues of A are A = 1 and A = 2, with
-2 3
eigenvectors vị
and v2 =
Now consider the đifferential equation x' = Ax. What is the general solution (in terms
of parameters c and e,?) What is the solution satisfying x(0) = |3|?

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