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. If a permutation 7 = 0102030m where the a,'s are disjoint then the inverse of 7 is 7- = o oj = (i, iz is ... ik-2 ik-1 ik). Find the inverse of each of the following. m-1o.. and o, (i, ix ik-1 ik-2 iz iz) provided (a) (1 32 4) E S4. (b) (1 4 3)(2 5 6 7) e S7. (c) (1 4 3 6)(2 9)(5 7 8) e S9.

. If a permutation 7 = 0102030m where the a,'s are disjoint then the inverse of 7 is 7- = o oj = (i, iz is ... ik-2 ik-1 ik). Find the inverse of each of the following. m-1o.. and o, (i, ix ik-1 ik-2 iz iz) provided (a) (1 32 4) E S4. (b) (1 4 3)(2 5 6 7) e S7. (c) (1 4 3 6)(2 9)(5 7 8) e S9.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If a permutation 7 = 010203 · ..om where the o,'s are disjoint then the inverse of T is T = 0m'om- ' and o, = (i ik ik-1 ik-2 ... iz i2) provided oj = (i, iz iz ... ir-2 ik-1 ik). Find the inverse of each of the following. (a) (1 3 2 4) E S4. (b) (1 4 3)(2 5 6 7) e S7. (c) (1 4 3 6)(2 9)(5 7 8) € Sg.
Transcribed Image Text:If a permutation 7 = 010203 · ..om where the o,'s are disjoint then the inverse of T is T = 0m'om- ' and o, = (i ik ik-1 ik-2 ... iz i2) provided oj = (i, iz iz ... ir-2 ik-1 ik). Find the inverse of each of the following. (a) (1 3 2 4) E S4. (b) (1 4 3)(2 5 6 7) e S7. (c) (1 4 3 6)(2 9)(5 7 8) € Sg.
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