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5) Consider the following linear system :- 2x+20x+48x=9u a) Considering the States x = x & x = x, express this equation in the

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5) Consider the following linear system :- 2x+20x+48x=9u a) Considering the States x = x & x = x, express this equation in the state-space form. b) Determine the eigenvalues and eigenvectors of the resulting A matrix. c) Using the resulting P matrix, diagonalize the above state-space system to obtain the new diagonalized state-space system.

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