If V is a finite dimensional vector space and v m is the vector space V V
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If V is a finite dimensional vector space and vm is the vector space V⊕ V⊕· · ·⊕ V (m summands), then for each m ≥ 1, vm is finite dimensional and dim Vm = m(dim V)
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For each m 1 we have vm V V V m summands To prove that vm is finite dimensional and dim Vm mdim V we ...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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