Consider the following linear system. 0 1 0 0 0 1 x+ 24 14 - =...

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Consider the following linear system. 0 1 0 0 0 1 x+ 24 14 - = [2 y=2-1 1] x. (a) Determine whether this system is observable or not. (b) Design a linear observer given by x=Ax+ Bu+L(y - Cx). where the eigenvalues of the observer are located at -1010i and -20. (c) Find the eigenvalues of A- LC and verify your answer to (c). Consider the following linear system. 0 1 0 0 0 1 x+ 24 14 - = [2 y=2-1 1] x. (a) Determine whether this system is observable or not. (b) Design a linear observer given by x=Ax+ Bu+L(y - Cx). where the eigenvalues of the observer are located at -1010i and -20. (c) Find the eigenvalues of A- LC and verify your answer to (c).