Let M be a 2 x 2 matrix with eigenvalues A₁ = 0.3, A2= -0.25 with corresponding eigenvectors = [2²] ²2² = [9] · V₂ Consider the difference equation with initial condition Xo That is, write xo = C1V1 + C₂V2 H Write the initial condition as a linear combination of the eigenvectors of M. In general, x Specifically, X4 V1 = For large k, xk Xk+1 = V₁+ )k v₁+ Mxk T V2

Let M be a 2 x 2 matrix with eigenvalues A₁ = 0.3, A2= -0.25 with corresponding eigenvectors = [2²] ²2² = [9] · V₂ Consider the difference equation with initial condition Xo That is, write xo = C1V1 + C₂V2 H Write the initial condition as a linear combination of the eigenvectors of M. In general, x Specifically, X4 V1 = For large k, xk Xk+1 = V₁+ )k v₁+ Mxk T V2

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 80E

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