Linear space

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Tini

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Is the set consisting of all points (x,y) such that x2+y2=4 a linear space? If so what is the dimension?
I don't understand what a linear space is and therefore I'm not sure how to solve this problem.
Can you help me?
 
Tini said:
Is the set consisting of all points (x,y) such that x2+y2=4 a linear space? If so what is the dimension?
I don't understand what a linear space is and therefore I'm not sure how to solve this problem. Can you help me?
Click to expand...
Did you Google search with "linear space" as a search term?

If you did - is there some statement at those sites we can help you understand? Which statement? Which site?

Please post back with your findings and work.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.
 
This is posted in beginning algebra. Are you studying elementary algebra?
 
The phrase "linear space" is often used to mean what I would prefer to call a "vector space" (and some texts even say "linear vector space"). No, a circle is not such a thing. However I can be certain that is what you mean. A circle IS a one dimensional object just as a straight line is. Perhaps that is what you are referring to.
 
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