# Exercise 45 define the matrices a and b in matlab a

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Exercise 4.5Define the matrices Aand Bin MATLAB:>> A = [-0.0558 -0.9968 0.0802 0.0415;0.598 -0.115 -0.0318 0;-3.05 0.388 -0.465 0;0 0.0805 1 0]>> B = [0.01; -0.175; 0.153; 0]a.What are the eigenvalues and eigenvectors of the matrix A? Include your input commands and your output in your Word document.
b.According to the mathematical definitions, is the system x′= Axstable, asymptotically stable, or unstable? Why?
c.One of the eigenvalues you obtained is very close to zero. Look at the corresponding eigenvector. Which component is biggest? Based on that, which
type of rotation is this eigenvector most closely associated with: yaw, roll, or pitch?
Exercise 4.6Recall that we specified Aas and Bas a.If F= [0 7 0 -1], what is the matrix BF.?
0b. If F= [0 5 0 -0.1], what is the matrix BF?
0c.If F= [0 5 0 -0.1], what is the matrix A+ BF? Are its eigenvalues the same as or different from those of A?
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d. Find F= [F1F2F3F4
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