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5. (15%)_Consider the following recurrence relation T(O) = 0 T(I) = 1 T(n) = 5 T(n-1) - 6 T(n-2) for n>= 2. a) Determine the

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5. (15%)_Consider the following recurrence relation T(O) = 0 T(I) = 1 T(n) = 5 T(n-1) - 6 T(n-2) for n>= 2. a) Determine the characteristic polynomial for this recurrence equation. b) Solve the recurrence equation to determine T(n) explicitly. c) Express your answer as simply as possible using the notation

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