MatLab 4 (1) - 0.6930 0.0000i 0.6930 0.0000i 0.8717 0.0000i...

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Yulan ZhangA99048051Math 20D B08MATLAB 3May 20 2014Exercise 4.1>> B=[1.2 2.5;4 0.7]B =1.2000 2.50004.0000 0.7000>> [eigvec, eigval]=eig(B)eigvec =0.6501 -0.58990.7599 0.8075eigval =4.1221 00 -2.2221Exercise 4.2
a)b)A=[1 3;-1 -8]A =1 3-1 -8>> [eigvec, eigval]=eig(A)eigvec =0.9934 -0.3276-0.1148 0.9448eigval =0.6533 00 -7.6533c)General solution
What happens to the system as t gets large?
Does this match your answer to (c)?Exercise 4.3
x ' = 2.7 x - y y ' = 4.2 x + 3.5 y-2-101234-4-3-2-1012xyWhat feature of the eigenvalues or eigenvectors causes the solutions to tend to infinity as t gets large?Exercise 4.4
A =-0.0558 -0.9968 0.0802 0.04150.5980 -0.1150 -0.0318 0-3.0500 0.3880 -0.4650 00 0.0805 1.0000 0>> [eigvec, eigval]=eig(A)eigvec =0.1994 - 0.1063i 0.1994 + 0.1063i -0.0172 + 0.0000i 0.0067 + 0.0000i-0.0780 - 0.1333i -0.0780 + 0.1333i -0.0118 + 0.0000i 0.0404 + 0.0000i-0.0165 + 0.6668i -0.0165 - 0.6668i -0.4895 + 0.0000i -0.0105 + 0.0000i

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