Ordinary Differential Equations and Dynamical Systems Vol2 · Problem 2.7

Existence Theory

Mathematics — Calculus · stable-unstable-center-subspaces

Problem

Find the stable, unstable, and center subspaces of the matrix [0−1010000−1].\begin{bmatrix} 0 & -1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & -1 \end{bmatrix}.

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