Suppose that the matrix A has the following eigenvalues and eigenvectors: 2 34i A = 4...
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Suppose that the matrix A has the following eigenvalues and eigenvectors: 2 34i A₁ = 4 + i with ₁ and A₂4i with 7₂ = 3 + 4i Write the general real solution for the linear system 7' = Ar, in the following forms: A. In eigenvalue/eigenvector form: [0]= = C1  + C₂ [0]. B. In fundamental matrix form: [ 1 [] t t C. As two equations: (write "c1" and "c2" for c₁ and ₂) x(t) = = y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 4 7₁ or −3 72. Suppose that the matrix A has the following eigenvalues and eigenvectors: 2 34i A₁ = 4 + i with ₁ and A₂4i with 7₂ = 3 + 4i Write the general real solution for the linear system 7' = Ar, in the following forms: A. In eigenvalue/eigenvector form: [0]= = C1  + C₂ [0]. B. In fundamental matrix form: [ 1 [] t t C. As two equations: (write "c1" and "c2" for c₁ and ₂) x(t) = = y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 4 7₁ or −3 72.
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