Question: Solve the following problems about x = Ax, = [_-15 -8]. A = (1) Find the eigenvalues of A. (2) Choose a transformation matrix

Solve the following problems about x = Ax, = [_-15 -8]. A = (1) Find the eigenvalues of A. (2) Choose a

Solve the following problems about x = Ax, = [_-15 -8]. A = (1) Find the eigenvalues of A. (2) Choose a transformation matrix T to transform A to a diagonal matrix. (3) For the transformed state x = T-x with T chosen in (2), describe the modal decomposition of x(t) using (0), (0) which are the elements of x(0).

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