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Step1/2The effect of the eigenvalue location on the speed of convergence and on high frequency noise variance.\( dot x == bx + Bu\)\(Y= cx + Du + n\)\(A= [[7, 1, - 2], [0, - 1, 1], [0, 0, - 1]]\)\(B=[[1], [0], [1]]\)\(C=[2 0 2]\)D=0.\(dot x =[[- 1, 1, - 2], [0, 1, 0], [0, 0, - 1]] * x + [[1], [0], [1]] * u\)\(dot x =[[- x + u, z, - 2x + u], [u, - 1, 1 + u], [u, 0, - 1 + u]]\)Explanation:n = - 10 , Eigen valuesStep2/2n = - 10 , Eigen values\(n=- x + u[- (- 1 + u)] - x[u(- 1 + u) - u(1 + u)] (- 2x + u)[- u]\)\(-10= [(- x + u)[1 - u]) - x[- u + u ^ 2 - u - u ^ 2] + 2xu - u ^ 2\)\(-10=-2u ^ 2 + 5xu - x + u\)\(Y=[2 0 2] x + (0) * u - 10\)\(Y=[ [[2x, 0, 2x], [- 10, 0, 0]]\)Explanation:speed of convergence and on high frequency noise varianceFinal Answer:P.S: If you are having any doubt, please comment here, I will surely reply you.Please ask questions seperately from next time. We will be provided very limited time for solving your query. Please understand and post the questions. Please provide your valuable feedback by a thumbsup. Your thumbsup is a result of our efforts. Your LIKES are very important for me so please LIKE…. Thanks in advance!Note: I've answered according to chegg's policy ...