Let R and C be the fields of real and complex numbers respectively. (a) dim R C
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Let R and C be the fields of real and complex numbers respectively.
(a) dimRC = 2 and dimRR = 1.
(b) There is no field K such that R ⊂ K ⊂ C.
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a To see that dimRC 2 note that 1 i is a basis for C over R ...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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