Is the set V(2x2) matrices of the form [a b / 0 c] spaces with the indicated operations of M22? If not, why not? Thank you in advance :)

Question

Is the set V(2x2) matrices of the form [a b / 0 c]  spaces with the indicated operations of M22? If not, why not?  Thank you in advance :)

anonymous · Answer

yes, because it satisfies the addition and multiplication axiom
if you take $V_1=\left[\begin {matrix}a&b\0&c\end{matrix}\right]$ and $V_2=\left[\begin {matrix}e&f\0&g\end{matrix}\right]$
you have V1+V2 = V3 in V ( has the same form with 0 at entry 22)
if you have a scalar $\alpha$ and times it to V1, you have the matrix has the same format. That proves what you need

anonymous · Answer

oh, so basically the V(2x2) in the question is the general form of the matrices? thank you very much, english is not my native language so I didnt really understand the question :D giving a medal ^_^

anonymous · Answer

English is not my first language either, hahaha... I always misunderstand what others say.

anonymous · Answer

do you mind doing 1 more plz? :D

anonymous · Answer

I will mind if it is above my head, hihihi, just post in the new post, friend.

anonymous · Answer

okie sir, first time being here :)

anonymous · Answer

close this post, then you can post the new one