Syntax_Error_Anees_3.1415 Sun Feb 21, 2010 12:30 pm
Well lets start with the easy ones
2.3 Question 11 & 12
Commutive means a * b = b * a ...i.e the order of the terms dont matter
So say E is the identity element if e is right identity
that means
e * a = a
if e is left identity ...
a * e = a
anyways,,, question 11 & 12 are relatively simple
Becauase commutivity means the orders dont matter.. it doesnt matter if e is on the left or the right side.. which means the left identity is equal to the right identity
And that means.. it has 1 identity which works for everything,.. and no separate left or right inverses...
This is the same for q12 with inverses.. no right or left.. just 1 for all
[Edit with next answer is in progress so bear with me]
5)
QUESTION 9
(a,b) * (c,d) = (a,b+c+d) (FOR ALL SYMBOL) a,b,c,d (ELEMTN SYMBOL) Z
(a,b) * (-3,3) = (a,b+-3+3)
(a,b) = (a,b)
(-3,3) =E=identity
obviously from this we can tell that a,b + -N + N
Means the negative and positive Ns cancle each other out..(N can be any number)
which leaves just (a,b) and (a,b) * E = (a,b)
so (-3,3)
(-2,2) etc etc
kk now...
6. is weird.. idk if im going about it the right way but here is what i took out of it
a^b = lowest common MULTIPLE of a and b
assume e= identity
a^e = lowest common MULTIPLE (not factor) of a and e -
a^e=a
GUYS IM GOING TO GO START MY MATHs HOMEWORK NOW
As i havnt done my homework yet i cant tell just by looking at the question about the answers.. so i am going to do it now.. i will POST A REPLY probably in a few hours... Good luck all.. cya soon