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diagonalize {{1, 1/2, 1/3, 1/4, 1/5}, {0, 1/2, 1/3, 1/4, 1/5}, {0, 0, 1/3, 1/4, 1/5}, {0, 0, 0, 1/4, 1/5}, {0, 0, 0, 0, 1/5}}
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