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(1 point) Find the equilibrium state of the dynamical system 1510+ 1) = 0.21310) + 0.5120), 1520' + 1) = 0.81310) + 0-51'20'). By equilibrium state. we mean find a vector 55(0) such that 35(1) = 55(0) for all t. Of all possible answers, give the unique answer which has entries that sum to 1. (This last property is important when solving "Markov chains," which are dynamical systems that involve probabilities. Since many of you have not seen probabilities we did not cover Markow chains specifically in this class, but we can treat this problem as a regular dynamical system. All we ask more is that your final answer have entries that sum to 1)