Numerical Mathematics Problems (Matlab)

avav3535
timer Asked: Jun 14th, 2015

Question Description

There are 2 problems. The answer should include Matlab code.

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3 10. By means of the power method, find an eigenvalue and associated eigenvector of these matrices from the historical books by Fox [1957] and Wilkinson [1965]. Verify your results by using mathematical software such as Matlab, Maple, or Mathematica. 0.9901 0.002 a. -0.0001 0.9904 starting with x = [1,0.91" 8-1-51 b. -4 4 -2 starting with x(0) = [1,0.8, 1]" 18 -5 -5 -7 1 13 c. 1 -2 1 starting with x® = [1,1,11" 13 -2 -1 41 d. 2 1-2 starting with x0 = [3, 1, 2)" without normalization and with - 1 - 1 3 normalization 11. Find all of the eigenvalues and associated eigenvectors of these matrices from Fox [1957] and Wilkinson [1965] by means of the power method and variations of it. Verify your results by using mathematical software such as Matlab, Maple, or Mathematica. 21 0.4812 0.0023 b. 4 2 -0.0024 0.4810 10 5 -1 -2 c. -1 + 108 3 0 d. 3 -2 1 1 -2 -2 5 0.987 0.400 -0.487 -0.079 0.500 -0.479 0.082 0.400 0.418 a. 1 1
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