Question 1

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Determine the eigenvectors and their respective eigenvalues of the matrix A equals open parentheses table row 3 0 0 0 row 4 3 0 0 row 5 4 3 0 row 6 5 4 3 end table close parentheses.
Give them as a list of pairs of eigenvalues with teir respective eigenvector, as follows: open curly brackets lambda subscript 1 comma v subscript 1 comma... comma lambda subscript n comma v subscript n close curly brackets
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