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3. (20%) Consider the following system. 1 10] z=012z+0u 001 Zo = 1 3 -2 2 (a) Find the Jordan Canonical Form for the

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3. (20%) Consider the following system. 1 10] z=012z+0u 001 Zo = 1 3 -2 2 (a) Find the Jordan Canonical Form for the system's A matrix. (Hint: You do not need to find the transformation matrix to get to the Jordan Canonical Form, but it may still be necessary to investigate the system's eigenvectors.) (b) What is the value of z2(t) as too if u=0;

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