Question

Is anyone here who is expert in relations and functions and inverse trigonometry ?

Please I want to ask some questions and have to submit their solutions tomorrow. Please answer.

Answer 1

1st question is :
Let A = N X N and let * be a binary operation on A defined by (a,b) * (c,d) = (ac, bd). Show that

(i) (A,*) is commutative
(ii) (A,*) is associative

Find the identity element , if any, in A.

Answer 2

please help me

Answer 3

ok commutative is?

Answer 4

if changing the order of the operands does not change the end result

Answer 5

correct?

Answer 6

yes

Answer 7

f(A,*)=f(*,A)
that's what we have to proof

Answer 8

yes

Answer 9

(c,d)*(a,b)=?

Answer 10

(ca, db) = (ac, bd) = (a,b) * (c,d)

Answer 11

good kush

Answer 12

This is what you want to say @ Zarkon Right ?

Answer 13

yes...that is all you need to show for (i)

Answer 14

sorry comp froze, have an ancient thing on mw
yes changing order didn't change the end result right

Answer 15

in ii part

Answer 16

show...

[(a,b) * (c,d) ]*(e,f)=(a,b) *[ (c,d) *(e,f)]

Answer 17

does it matter which u multiply first is the question u should be asking

Answer 18

is this queston for me

Answer 19

oh like zarkon said

Answer 20

okay

Answer 21

wait zarkon do we introduce new variables?

Answer 22

you just pick any three elements from the set NXN

Answer 23

[(a,b) * (c,d)]*(e,f)
= [(ac,bd)]*(e,f)
=(ace,bdf)
=(a,b)*(ce,df)
=(a,b)*[(c,e)*(d,f)]
Proved

Answer 24

yes

Answer 25

Is this what we have to show ?

Answer 26

i think so

Answer 27

yes

Answer 28

Find the identity element , if any, in A.

Answer 29

is N the set of natural numbers?

Answer 30

WILL THE ANSWER FOR THIS BE (1,1)

Answer 31

we say any another element given relation, prove that (a,b)*(c,d)*(e,f) where order of multiplication doesnt matter and ef is another point in the set

Answer 32

if N is the natural numbers then yes

Answer 33

thanks

Answer 34

lol this isnt hs math

Answer 35

is it?

Answer 36

sure it is

Answer 37

can u help me in some more questions

Answer 38

really zarkon

Answer 39

basic stuff you would see in a HS discrete math class. or a general humanities math class in college

Answer 40

sure post them again though

Answer 41

hmm they dont have tht clas in my school

Answer 42

okay wait i will post them

Answer 43

hahd is a good teacher

Answer 44

i learn out of interest @nil loooooool prob not this was all zarkon

Answer 45

yes

Answer 46

hahd u are in which class

Answer 47

gr.11

Answer 48

hw abt u zarkon?

Answer 49

what?

Answer 50

gr.12?

Answer 51

what grade are u in?

Answer 52

u ar from

Answer 53

Canada

Answer 54

lol...I'm a Mathematics Professor

Answer 55

WOOOOOOW, k respect right there

Answer 56

PROFESSOR

Answer 57

zarkon where do u teach?

Answer 58

In Pennsylvania

Answer 59

Then all my probs by u

Answer 60

yh american math curriculum is better than canada's

Answer 61

http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4e509b4e0b8b958804ac0716

go to this link to answer the question