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Exercise 101

Avg difficulty 2.5
  1. Compute eigenvalues and eigenvectors of A=[103−101202]A= \left[ \begin{smallmatrix} 1 & 0 & 3 \\ -1 & 0 & 1 \\ 2 & 0 & 2 \end{smallmatrix}\right].
  2. Solve the system x⃗ ′=Ax⃗\vec{x}\,' = A \vec{x}.

Lebl, Notes on Diffy Qs, §3.4 Eigenvalue method, exercise 101

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.