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Are these vector spaces isomorphs?

  1. Nov 6, 2011 #1
    Let K1={a + (2^0.5)*b} | a,b rational numbers}, and K2={a + (3^0.5)*b} | a,b rational numbers} be two fields with the common multiplication and addition. Isomorphs are the following vector spaces :
    (Q^n ., +; K1) and (Q^n ., +; K2) ?
  2. jcsd
  3. Nov 6, 2011 #2


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    two finite dimensional vector spaces over the same underlying field are isomorphic if and only if they have the same dimension.
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