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Ah, I just don't get this stuff!

hehe wait a sec i am just checking :)

I'm pretty sure this is a vector space since it satisfies all the axioms need for a vector space.

it is a vector space that is forsure

you just have to go thru all the axioms which is a pain :)

umm if you show using real values it is easier

but i am not sure what ur prof wld want

well i doubt her prof wld accepy that :)

anyways if its closed under addition not neccesairy will it be cllosed under multiplication

kk but she still has to show that all the axioms are satisfied

Yes, but their proof are almost trivial once you've showed closure of addition.

True :)

umm brinethy u know how to show that all the 10 axioms r true?

I don't know how to do this with a general mxn matrix

showing that it's closed under scalar multiplication and vector addition, I mean.

give me a sec and i will do it

well i just proved that they are closed under addition and scaler multiplication. Do u see how?

Aren't those all lower triangular matrices? not upper?

oh Sh* but it wld be the same thing

its a good thing u r around king

no problem at all.

umm there are still 8 more axioms that need to be proved

some of them take much longer to prive than others

These are the two main ones

R u still there?

Yeah, I stepped out. My dad had to tell me something

I'm opening your file right now

lol that is ok:)

umm well u kind of have to prove the other axioms as well which is harder

and btw by accident i proved using lower traingles in stead of upper

Yes, I am aware of that

y wld u need to do that?

I am just wondering cuz i dont remember ever doing that?

idk I just went thru every axiom

k gonna go study i hope i was a lil bit helpful :)