Question: 6. A linear dynamic system is one that can be described by a set of linear, ordinary differential equations of the following type: du EAu

6. A linear dynamic system is one that can be described by a set of linear, ordinary differential equations of the following type: du EAu 1 (a) Show that a solution to the equation above is u(t) = we)", where m and A are an eigenvector and corresponding eigenvalue, respectively, of the matrix A. (b) Given A = [3 along with the initial condition

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