M1 = (. ) , M2 (1 - ) 1. Compute the eigenvalues of the following...

 

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M1 = (. ) , M2 (1 - ) 1. Compute the eigenvalues of the following matrices, and for each eigenvalue, find an associated eigenvector 3 -5 M3 = (*)) and M4 = (C) 2. Given the matrix equations dY;(t) A. Sketch their phase portraits B. Find their general solutions dt - MY;(t), j=1, 2, 3, 4, C. Compute the solutions of the initial value problems: dy; (t) = M, Y; (t) YJ (0) = = (+) " j = 1, 2, 3, 4. M1 = (. ) , M2 (1 - ) 1. Compute the eigenvalues of the following matrices, and for each eigenvalue, find an associated eigenvector 3 -5 M3 = (*)) and M4 = (C) 2. Given the matrix equations dY;(t) A. Sketch their phase portraits B. Find their general solutions dt - MY;(t), j=1, 2, 3, 4, C. Compute the solutions of the initial value problems: dy; (t) = M, Y; (t) YJ (0) = = (+) " j = 1, 2, 3, 4.

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