c) Show that Z,,+, is a cyclic group generated by 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a) Find Characteristic equation, Eigen values and Eigen vectors fo
b) In the group (Z, -{0},•,), find the value of x if ŝ•, x=Î.
Q3:
a) If o =(1 3 5 6) and o, =(2 4 5) are two permutations of S6.
%3D
(i)
0,,"
(ii) (0,5,)
b) If (Q\{0},*)is an abelian group, where * is defined by a*b
Identity element and inverse of an element.
c) Show that Zs,+5)is a cyclic group generated by 3!
Q4: Find first derivative for each of the following functions:
1
1) y=12x +
|
.4
人
MacBook Pro
Transcribed Image Text:a) Find Characteristic equation, Eigen values and Eigen vectors fo b) In the group (Z, -{0},•,), find the value of x if ŝ•, x=Î. Q3: a) If o =(1 3 5 6) and o, =(2 4 5) are two permutations of S6. %3D (i) 0,," (ii) (0,5,) b) If (Q\{0},*)is an abelian group, where * is defined by a*b Identity element and inverse of an element. c) Show that Zs,+5)is a cyclic group generated by 3! Q4: Find first derivative for each of the following functions: 1 1) y=12x + | .4 人 MacBook Pro
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