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Let ơ, t E S6 such that 1 2 3 4 5 = аnd 6 4 35 12 Determine the following: (a) Cycle decomposition of o. (f) Cycle d- (b) 2-cycle decomposition of o. (g) 2-cycle (c) Is o odd or even? Why? ( h) Is τοdd (d) |o| (i) |T|

Let ơ, t E S6 such that 1 2 3 4 5 = аnd 6 4 35 12 Determine the following: (a) Cycle decomposition of o. (f) Cycle d- (b) 2-cycle decomposition of o. (g) 2-cycle (c) Is o odd or even? Why? ( h) Is τοdd (d) |o| (i) |T|

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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Let o, 1 E S6 such that 3 4 5 6 2 3 6. 1 O = 6. 1 4 5 and 4 1 2 3 1 4 Determine the following: (a) Cycle decomposition of o. (f) Cycle decomposition of r. (k) 7². (b) 2-cycle decomposition of o. (g) 2-cycle decomposition of r. (1) oT. (c) Is o odd or even? Why? (h) Is t odd or even? Why? ( m ) τσ. (d) l이 (i) |디 (n) to²r-1 (e) The inverse o¯1 of o. (j) The inverse t¯l of t. (0) Find a e S6 such that on = t
Transcribed Image Text:Let o, 1 E S6 such that 3 4 5 6 2 3 6. 1 O = 6. 1 4 5 and 4 1 2 3 1 4 Determine the following: (a) Cycle decomposition of o. (f) Cycle decomposition of r. (k) 7². (b) 2-cycle decomposition of o. (g) 2-cycle decomposition of r. (1) oT. (c) Is o odd or even? Why? (h) Is t odd or even? Why? ( m ) τσ. (d) l이 (i) |디 (n) to²r-1 (e) The inverse o¯1 of o. (j) The inverse t¯l of t. (0) Find a e S6 such that on = t
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