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# Suppose that the matrix A A has the following eigenvalues and eigenvectors: (1 point) Suppose that...

## Question

###### Suppose that the matrix A A has the following eigenvalues and eigenvectors: (1 point) Suppose that...

Suppose that the matrix A A has the following eigenvalues and eigenvectors: (1 point) Suppose that the matrix A has the following eigenvalues and eigenvectors: 2 = 2i with v1 = 2 - 5i and - 12 = -2i with v2 = (2+1) 2 + 5i Write the general real solution for the linear system r' = Ar, in the following forms: A. In eigenvalue/eigenvector form: 0 4 0 t MODE = C1 sin(2t) cos(2) 5 2 4 0 0 t + C2 sin(2t) + cos(2) 2 -5 B. In fundamental matrix form: 4 4 x(t) [CO] Is 4 4 C. As two equations: (write "c1" and "c2" for ci and c2) x(t) = 4 yt) = 4

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