Unformatted text preview: Let n ∈ N , n ≥ 2, and let i,j ∈ I n . Assume that i 6 = j . Deﬁne T : I n → I n by T ( x ) = x if x 6 = i and x 6 = j, j if x = i, i if x = j. a. Prove that T ∈ S n . The function T is called a transposition . b. What is the tworow description of T ?...
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 Fall '09
 RyanDaileda
 Math, Inverse function, The Elements, abstract math

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