Let V be vector space with dimension of above C (complex plane). Now we look at him (V) like vector space above R. What his dimension above R?
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Try constructing (the complex plane) as a vector field using elements of .
Conclude the relation between them from the above.
So the dimension is 2n or I missing something...?
Originally Posted by Also sprach Zarathustra So the dimension is 2n or I missing something...? Yes, since we can "construct" every element in using 2 elements of , we may conclude that the dimension of a vector space spanned over is twice than of the vector space spanned over .
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