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MAE 488 Quiz 5 EXAM Questions AND Correct Answers

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MAE 488 Quiz 5 EXAM Questions AND Correct Answers

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MAE 488 Quiz 5 EXAM Questions AND Correct Answers
3 input, 2 output system in transfer function form - ✔✔A = 2x3



A - ✔✔is the nxn system matrix



A system has 2 inputs and 5 outputs. What is the size of the matrix of transfer functions? - ✔✔5x2



A system has 2 inputs, 3 states, and 5 outputs. What are the sizes of the following matrices in the state
space model? - ✔✔A 3x3, B 3x2, C 5x3, and D 5x2



Arrow - ✔✔used to represent a variable or signal and the direction of the cause and effect relationship



B - ✔✔is the nxm input matrix



Block - ✔✔square or rectangle containing the input-output relationship, usually a transfer function



block diagram reduction - ✔✔reducing a more complicated block diagram to a simpler one



C - ✔✔is a pxn matrix (often identity)



Circle - ✔✔represents a summation with multiple arrows pointing to the circle but only one coming
out.(summer junction and is used to add/subtract signals)



D - ✔✔is a pxm matrix (often zeros)



eigenvalue 𝜆𝑖, there is a corresponding eigenvector 𝑣𝑖 which is obtained from the solution of - ✔✔|𝜆𝑖𝐼 −
𝐴|𝒗𝑖 = 𝟎



Eigenvalues are the solutions of - ✔✔|𝜆I − 𝐴| = 𝟎

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