Sample ODE problem for instructors
of an m by m matrix A provided the . eigenvector equation . Ax = x with x = the m by 1 matrix has nontrivial solutions x . The trivial solution is x = = (0 0 ,,, 0). The eigenvector equation, as we will see below, can be rewritten as a linear system of m equations in m unknowns. If is an eigenvalue of A, then . every ................
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