a) Find Characteristic equation, Eigen values and Eigen vectors fob) 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*bIdentity 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:11) y=12x +|.4人MacBook Pro

3(c) To check if 3 is generator of (Z5 , +5) , we must check that 3 generates all the members of Z5…

Answered: c) Show that Z,,+, is a cyclic group…

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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

Problem 1RQ

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Question

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
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