I had this question in my book asking me to show these things in detail, but it seems easy yet i dont understand why teacher said it was a little difficult:(adsbygoogle = window.adsbygoogle || []).push({});

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 thats pretty much it, but again i dont think thats what its asking for, i just dont understand i guess.

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# Vector Spaces

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