Find sin(A), A^5, and expm(A) using (1) Cayley-Hamilton theorem and (2) Jordan decomposition given the following matrices: A = [-3 1;         0 -2] A = [2 3;         0 2] Solve by hand, but you can verify it using software afterwards. Optional: plot the phase plane of the above systems xdot=A*x using any software.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find sin(A), A^5, and expm(A) using (1) Cayley-Hamilton theorem and (2) Jordan decomposition
given the following matrices:
  1. A = [-3 1;
            0 -2]
  2. A = [2 3;
            0 2]
Solve by hand, but you can verify it using software afterwards.

Optional: plot the phase plane of the above systems xdot=A*x using any software.
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