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The behavior is a 3 term dynamical system is defined by vk+1 = Avk, where A...

The behavior is a 3 term dynamical system is defined by vk+1 = Avk, where A = (0 −1 0) (1 0 0) (0 0 3) <- columns of matrix A

Describe in words using the initial states (1,1,1/2), (1,1,0), (1,1,-1/2), v1, v2, v3, and the eigenvalues/eigenvectors the behavior of the dynamical system.

How does the behavior change if we change the matrix A?

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