Question 8. Consider the matrix A 0 1 0 0 0 0 1 0 0 0 0 1 b c d a Find all the eigenvectors with a given eigenvalue 11.

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Question 8 Consider The Matrix A 0 1 0 0 0 0 1 0 0 0 0 1 B C D A Find All The Eigenvectors With A Given Eigenvalue 11 1 (142.53 KiB) Viewed 30 times

Question 8. Consider the matrix A 0 1 0 0 0 0 1 0 0 0 0 1 b c d a Find all the eigenvectors with a given eigenvalue 11. Assuming the characteris- tic polynomial is pa(1) = (1 - 1)?(1 – 2)(1+6) is this matrix diagonalizable? Full explanation is required using tools seen in class (as described in lecture notes). One eigenvector is (-6,-6,-6,6)^t One eigenvector is (1,-1,1,-1)^t One eigenvector is (2,4,8,9)^t One eigenvector is (1,1,1,1)^t