(a) Find the eigenvalues and eigenvectors of A = h 0 4 1 4 0 i . (b) Solve du/dt = Au
Chapter 5, Problem 5.17(choose chapter or problem)
(a) Find the eigenvalues and eigenvectors of A = h 0 4 1 4 0 i . (b) Solve du/dt = Au starting from u(0) = (100,100). (c) If v(t) = income to stockbrokers and w(t) = income to client, and they help each other by dv/dt = 4w and dw/dt = 1 4 v, what does the ratio v/w approach as t ?
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