- #1
matrix_204
- 101
- 0
I had this question in my book asking me to show these things in detail, but it seems easy yet i don't understand why teacher said it was a little difficult:
1) Prove that R^2(with the rules of addition and scalar multiplication) is a vector space and find (zero vector)?
2)Deduce from the rules of addition and scalar multiplication that
0v=0(vector) for all v in V and (-1)v=-v? (v is a vector)
3) Show that a vector space U has another just 1 element or infinitely many.
I just need to see what you guys comment on this, as to me it seems like i just simply have to rewrite the rules and that's pretty much it, but again i don't think that's what its asking for, i just don't understand i guess.
1) Prove that R^2(with the rules of addition and scalar multiplication) is a vector space and find (zero vector)?
2)Deduce from the rules of addition and scalar multiplication that
0v=0(vector) for all v in V and (-1)v=-v? (v is a vector)
3) Show that a vector space U has another just 1 element or infinitely many.
I just need to see what you guys comment on this, as to me it seems like i just simply have to rewrite the rules and that's pretty much it, but again i don't think that's what its asking for, i just don't understand i guess.