Question: Find the eigenvalues and eigenvectors of the following matrices, using both eig and power_method (for the dominant eigenvalue and eigenvector). If the power method

Find the eigenvalues and eigenvectors of the following matrices, using both eig

Find the eigenvalues and eigenvectors of the following matrices, using both eig and power_method (for the dominant eigenvalue and eigenvector). If the power method fails, discuss why. For those matrices that are diagonalizable, give the diagonalized matrix. (a) (b) 2.781344 -1.921334 0.493612 1.367198 -1.014289 -0.824057 0.015050 -0.205731 0.903377 1.780261 -0.087144 0.606003 2.977860 -0.140473 -0.750938 0.212440 -2.477599 0.980236 4.233562 -1.207581 -0.136646 -1.168924 0.453692 0.915245 1.712964 -1.54575 -3.47002 -1.70112 -2.58917 -3.28104 -2.07998 -1.45597 -2.75629 0.55497 0.94078 2.02863 0.46100 [5

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