sspace

[Sarahisme]

hey, just double checking this stuff (i have only just begun this topic in maths and so i am a little shaky on it)

 

is the answer to this:

 

i) no , because the zero vector is not in the set H.

 

ii) yes, but i don't know how to explain why, i guess if you let s and t be zero, then the zero vector is part of the set L , and obviously if you add any two vectors it will still be in L and if you multiple by a scalar it will be too...

 

anyways, yeah as i said, i'm a greenhorn with this stuff, so take pity

 

Sarah

[matt grime]

ii) yes, but i don't know how to explain why, i guess if you let s and t be zero, then the zero vector is part of the set L

 

Yes.

 

 

 

and obviously if you add any two vectors it will still be in L and if you multiple by a scalar it will be too...

 

so you've got a vector space, and all is well - it;s the span of the vectors (1,2,1) and (3,3,6)

[Sarahisme]

sorry, i've never heard of vector space..??

 

and i gather i got part i) right then ?

[matt grime]

Both parts are right, and if it helps don't see the word "vector" before the word space, just see sub, since they are in this case the same thing

[Sarahisme]

oh ok then, thanks matt