Consider the following matrices: 20 0 0] A = 0 2 8 0 84 0 0...

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Consider the following matrices: 20 0 0] A = 0 2 8 0 84 0 0 2-8 0 8 4 Determine the eigenvalues and corresponding eigenvectors from each matrix. Comment on the difference between the eigenvalues (Hint: consider the symmetry of the matrix). NOTE: • For the matrix with real eigenvalues and eigenvectors, please write eigenvalues in ascending order and write each eigenvector in its associated column. • For the matrix with complex eigenvalues and eigenvectors, please follow the order: (a) eigenvalue with the negative complex part, (b) eigenvalue with the positive complex part, and (c) real eigenvalue. • For each complex input, two boxes are provided: the left box is for the real part and the right box for the complex part of input. • Please write your comment on the difference between the eigenvalues at the end of the text file that you provide for question 6. Which matrix has complex eigenvalues and eigenvectors? Matrix B Matrix with real eigenvalues and eigenvectors: Eigenvalue 2 11.062: Eigenvector 2 Eigenvalue 1 -5.062: Eigenvector 1 0 -1.1328 1 3 Matrix with complex eigenvalues and eigenvectors: Eigenvalue 1 Eigenvalue 2 T Eigenvector 1 0 20 B = 0 -7.9373*i -0.125 1 0 0.9922*i 0 0 0.8828 1 3 Eigenvector 2 0 7.9373*i -0.125 1 0 0.9922*i 0 Eigenvalue 3 20 Eigenvector 3 1 0 0 Eigenvalue 3 20 Eigenvector 3 1 0 0 Consider the following matrices: 20 0 0] A = 0 2 8 0 84 0 0 2-8 0 8 4 Determine the eigenvalues and corresponding eigenvectors from each matrix. Comment on the difference between the eigenvalues (Hint: consider the symmetry of the matrix). NOTE: • For the matrix with real eigenvalues and eigenvectors, please write eigenvalues in ascending order and write each eigenvector in its associated column. • For the matrix with complex eigenvalues and eigenvectors, please follow the order: (a) eigenvalue with the negative complex part, (b) eigenvalue with the positive complex part, and (c) real eigenvalue. • For each complex input, two boxes are provided: the left box is for the real part and the right box for the complex part of input. • Please write your comment on the difference between the eigenvalues at the end of the text file that you provide for question 6. Which matrix has complex eigenvalues and eigenvectors? Matrix B Matrix with real eigenvalues and eigenvectors: Eigenvalue 2 11.062: Eigenvector 2 Eigenvalue 1 -5.062: Eigenvector 1 0 -1.1328 1 3 Matrix with complex eigenvalues and eigenvectors: Eigenvalue 1 Eigenvalue 2 T Eigenvector 1 0 20 B = 0 -7.9373*i -0.125 1 0 0.9922*i 0 0 0.8828 1 3 Eigenvector 2 0 7.9373*i -0.125 1 0 0.9922*i 0 Eigenvalue 3 20 Eigenvector 3 1 0 0 Eigenvalue 3 20 Eigenvector 3 1 0 0