Investigate the next three matrices on the menu (the sixth, seventh, and eighth). In

Chapter 6, Problem 5

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Investigate the next three matrices on the menu (the sixth, seventh, and eighth). In each case, try to estimate geometrically the eigenvalues and eigenvectors and make your guesses for the eigenvalues consistent with the trace of the matrix. Use MATLAB to compute the eigenvalues and eigenvectors of the sixth matrix by setting [X, D] = eig([0.25, 0.75 ; 1, 0.50 ]) The column vectors of X are the eigenvectors of the matrix and the diagonal entries of D are the eigenvalues. Check the eigenvalues and eigenvectors of the other two matrices in the same way.

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