Question: Consider the 2-dimensional dynamical system ??+1 = ??? Suppose the matrix A has eigenvectors u and v with eigenvalues ? = -1/2 and ? =

Consider the 2-dimensional dynamical system

??+1 = ???

Suppose the matrix A has eigenvectors u and v with eigenvalues ? = -1/2 and ? = 2 respectively. In

the diagram below, the vectors u

and v are plotted along with the initial vector

?0. Employ a careful graphical construction to find ?1

Consider the 2-dimensional dynamical system ??+1
\f

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