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

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A: We use the definition of eigenvector to solve the problem

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A: See solution below.

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Q: 04) Find the eigenvalues and eigenvectors of the following matrix and liagonalize it if possible. 7…

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