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  3. consider the dynamical system x 1 axk 0 3 0 3 0 3

Consider the dynamical system x 1 AXk 0 3 0 3 0 3 A a...

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Consider the dynamical system x 1 AXk 0 3 0 3 0 3 A a Compute x X X3 for Xo x X3 b Compute x X X3 for Xo 8 X x 1 X3 00 c Using eigenvalues and eigenvectors classify the origin as an attractor repeller saddle point or n attractor O repeller O saddle point

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Transcribed Image Text

Consider the dynamical system x 1 AXk 0 3 0 3 0 3 A a Compute x X X3 for Xo x X3 b Compute x X X3 for Xo 8 X x 1 X3 00 c Using eigenvalues and eigenvectors classify the origin as an attractor repeller saddle point or n attractor O repeller O saddle point

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