(1) Let o, T E S6 such that 45 6 1 2 3 T = 2 3 1 2 3 4 5 6 1 O = 6. and 4 3 5 1 2 6. 5 4 Determine the following: (f) Cycle decomposition of r. (g) 2-cycle decomposition of r. (h) Is T odd or even? Why? (i) |7| (i) The inverse T-1 of T

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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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Hi, help me please. thanks

(1)
Let o, t E S, such that
1
2 3
4 5 6
1
2 3 4 5 6
=
and
6 4 3
5 1
2
2 3 1 6 5 4
Determine the following:
(f) Cycle decomposition of r.
(g) 2-cycle decomposition of r.
(h) Is t odd or even? Why?
(i) |디
(j) The inverse t¬1 of t.
Transcribed Image Text:(1) Let o, t E S, such that 1 2 3 4 5 6 1 2 3 4 5 6 = and 6 4 3 5 1 2 2 3 1 6 5 4 Determine the following: (f) Cycle decomposition of r. (g) 2-cycle decomposition of r. (h) Is t odd or even? Why? (i) |디 (j) The inverse t¬1 of t.
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