Question: Suppose that the matrix A has the following eigenvalues and eigenvectors: A-3+ with 71 = and A -3- i with 72 = [0]= 1+2i
Suppose that the matrix A has the following eigenvalues and eigenvectors: A-3+ with 71 = and A -3- i with 72 = [0]= 1+2i Write the general real solution for the linear system' =AF, in the following forms: 1 A. In eigenvalue/eigenvector form: = G y(t) = 2i 1 B. In fundamental matrix form: cos(t) cos(t) C. As two equations: (write "c1" and "c2" for c1 and c2) r(t) = 0 0 48-18-D -2 2 sin(t) Note: if you are feeling adventurous you could use other eigenvectors like 4 71 or -3 72. sin(t) e -3 t
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