6. A linear dynamic system is one that can be described by a set of linear, ordinary differential equations of the following type: du dt = 1 (a) Show that a solution to the equation above is u(t) = xe, where x and \ are an eigenvector and corresponding eigenvalue, respectively, of the matrix A. (b) Given 3 -2 A = 1 along with the initial condition u(0) = Use MATLAB to find the complete solution u(t) = cx1et +C2x2e2t