Question 8. Consider the matrix (0100 0 0 1 0 A= 0001 a b c d с Find all the eigenvectors with a given eigenvalue #1. As

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Question 8. Consider the matrix (0100 0 0 1 0 A= 0001 a b c d с Find all the eigenvectors with a given eigenvalue #1. Assuming the characteris- tic polynomial is PA() = (1 - 1)'(1 - 2)(x + 6) is this matrix diagonalizable? Full explanation is required using tools seen in class (as described in lecture notes). One eigenvector is (1,1,1,1)^t One eigenvector is (2,4,8,9) One eigenvector is (-6,-6,-6,6)^t One eigenvector is (1,-1,1,-1)^t