Let V be a vector space such that dim_C V = n. Prove that if V is now considered a vector space over R (using the same addition and scalar multiplication), then dim_R V = 2n.
Added by Marta R.
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First, we need to understand what it means for V to be a vector space over R. This means that the scalars used for scalar multiplication are real numbers, and the addition and scalar multiplication operations are the same as before. Show more…
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