I think there's a mistake in a q that I've been set-what do you think?
I've been set this maths question, and mis-read and hence have answered a different question, but I don't think that the original question makes sense:
"Let X be any set, F any field. Define F^X to be the set of all functions X->F with the usual pointwise addition and multiplication by scalars (elements of F). Show that X is a vector space over F."
When I first read it, I thought it said show that F^X is a vector space and not X and I showed F^X was a vector space. I don't think that X can be a vector space over F, for it needs to have a distinguished element 0, and as it says that you can take any set, you could just as well choose a set which doesn't have any distinguished zero element. Am I right in thinking that the original question was mistaken, or have I missed something? If I was wrong, please don't tell me how to solve it, just tell me that I was wrong and I'll try to figure it out by myself. Thanks!
Answers:
I agree you were wrong!
If you need help contact me.
Sorry, can't help with that one but good luck
i dont understand sorry
Sorry I'm out of my depth on this one.
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My question is relating to Mathematics exponential functions.?
"Let X be any set, F any field. Define F^X to be the set of all functions X->F with the usual pointwise addition and multiplication by scalars (elements of F). Show that X is a vector space over F."
When I first read it, I thought it said show that F^X is a vector space and not X and I showed F^X was a vector space. I don't think that X can be a vector space over F, for it needs to have a distinguished element 0, and as it says that you can take any set, you could just as well choose a set which doesn't have any distinguished zero element. Am I right in thinking that the original question was mistaken, or have I missed something? If I was wrong, please don't tell me how to solve it, just tell me that I was wrong and I'll try to figure it out by myself. Thanks!
Answers:
I agree you were wrong!
If you need help contact me.
Sorry, can't help with that one but good luck
i dont understand sorry
Sorry I'm out of my depth on this one.
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