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1 Solving Systems of Linear Equations by Graphing 219. A linear system x˙ = Ax can have an isolated equilibrium point at x = 0 (if A is nonsingular) or a continuum of equilibrium points in the null space of A (if A is singular) It cannot have multiple isolated equilibrium points, for if xa and xb are two equilibrium points, then by linearity any point on the line αxa +(1− α)xb connecting xa and xb will be an equilibrium point.
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