Solved: A nonsymmetric matrix A may have complex eigenvalues. We can determine the

Chapter 7, Problem 18

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A nonsymmetric matrix A may have complex eigenvalues. We can determine the number of eigenvalues of A that are both real and positive with the MATLAB commands e = eig(A) y = sum(e > 0 & imag (e) == 0) Generate 100 random nonsymmetric 10 10 matrices. For each matrix, determine the number of positive real eigenvalues and store that number as an entry of a vector z. Determine the mean of the z(j) values, and compare it with the mean computed in part (a) of Exercise 17. Determine the distribution and plot the histogram.

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