Question

let
A=M2(Z)
be the ring of
2×2
integral matrices the identity of A,
IA

Answer 1

@xapproachesinfinity please help on thsi. i have to work on my grade

Answer 2

what math level is that? number theory?

Answer 3

group theory?

Answer 4

i believe ring are in those courses!

Answer 5

can't really help here! I haven't taken such classes yet

Answer 6

ok

Answer 7

were you not doing calcI yesterday?

Answer 8

continuity and differentiability!

Answer 9

yes i was. actually, am doing 3 maths this semester. groups and rings, real analysis and mathematical method 4

Answer 10

@Sworewolf

Answer 11

@ig

Answer 12

@iGreen

Answer 13

hmm i see, so diff and cont are from real analysis

Answer 14

yes

Answer 15

i have to really study hard because i am in an open university

Answer 16

online?

Answer 17

@ikram002p could help with group theory and gings

Answer 18

or @Loser66 :) hey old man^_^

Answer 19

try to help with group and rings this gentleman

Answer 20

hmm don't know lol
just saw ring
and matrix there so thought it is about groups

Answer 21

im waiting the question hi @Loser66 :P

Answer 22

eh yes there is no question to begin with lol

Answer 23

just realized that hehe

Answer 24

darn you are very careful old man :)

Answer 25

i have given an attachement

Answer 26

eh hold on this is quiz! OS is against answering quiz, exams
only homework problems my dear

Answer 27

no, its a tutor mark assingnment. but we do not have tutors

Answer 28

ok so what question u need ?

Answer 29

it is for us to pratice with

Answer 30

u need number 3 only ?

Answer 31

yes but still confuse about 4,7,8,9,10

Answer 32

i am just being introduced to groups and rings

Answer 33

@ikram002p

Answer 34

I'm puffed, but i do like what those courses deal with :)
I'm very interested to what they offer!!

Answer 35

the most painful part of it is that i have not found a good text book that could explain most basic things for me

Answer 36

@ikram002p , you there?

Answer 37

ok, ignore integer or integral, Just work with the definition of identity. We have A is identity of a ring when for ALL element r in the ring, Ar = rA = r
And we also know that in matrix, unless \(\left[\begin{matrix}1&0\\0&1\end{matrix}\right]\), none of the choices has that property. Since multiplication in matrix is not commutative.

Answer 38

i give you 0 old man since i did not understand heheh

Answer 39

waw you all are funny. still waiting for your responds @ikram002p

Answer 40

7 is homomorphism

Answer 41

because by definition, an isomorphism is a bijective homomorphism

Answer 42

8 is correct

Answer 43

ok thanks but still waiting for @ikram002p since she knows it beta

Answer 44

am i left here alone. please help

Answer 45

@peterg2001 can u help

Answer 46

@pitamar

Answer 47

@Loser66

Answer 48

i dont think she is here anymore, please help with others

Answer 49

dont know try http://www.wolframalpha.com/input/?i=A%3DM2%28Z%29+
or mathway

Answer 50

yes?