Exam Solutions (5) - Winter 2014 Math 377 Inclass I For each system of the form x = M x do the following a Determine the eigenvalues and associated

Exam Solutions (5) - Winter 2014 Math 377 Inclass I For...

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Winter 2014 Math 377 Inclass I For each system of the formx0=Mxdo the following:a. Determine the eigenvalues and associated eigenvectors.b. Use the eigenvectors to determine solutions with linear curves in the phaseplane.c. Use the eigenvalues to determine the movement of the solution along thesecurves.d. Use dominant eigenvalue analysis to determine solution curves in each of

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