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(1 point) Let M be a 2 x 2 matrix with eigenvalues 11 = 0.3, 12 = 0.25 with corresponding eigenvectors Consider the difference equation
(1 point) Let M be a 2 x 2 matrix with eigenvalues 11 = 0.3, 12 = 0.25 with corresponding eigenvectors Consider the difference equation XK+1 = MXk with initial condition X = W N Write the initial condition as a linear combination of the eigenvectors of M. That is, write Xo = CI VI + C2 V2 = 1 Vi+ 5/2 V2 k In general, Xx = 0.3 vit 5/2 0.25 V2 Specifically, X2 = 0 For large k, X* + 0
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