The following matrix has three eigenvalues: 2,1 + fi, and l-fi, where I and fare the...

 

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The following matrix has three eigenvalues: 2,1 + fi, and l-fi, where I and fare the number of letters in your last name and first name respectively. Find the eigenvector bases for all the eigenspaces. Show your work. (i = -1) -5 A-16 A = 0 1 + fi 0 -3 1-fil Bonus question for 1 point: Although the complex eigenvalues are conjugates, the associated eigenvectors are not conjugates. Explain why. The following matrix has three eigenvalues: 2,1 + fi, and l-fi, where I and fare the number of letters in your last name and first name respectively. Find the eigenvector bases for all the eigenspaces. Show your work. (i = -1) -5 A-16 A = 0 1 + fi 0 -3 1-fil Bonus question for 1 point: Although the complex eigenvalues are conjugates, the associated eigenvectors are not conjugates. Explain why.

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