Kunze Linear Algebra · Problem 2.1.2

Vector Spaces

Mathematics — Methods · vector-addition-associativity

Problem

If VV is a vector space over the field FF, verify that (α1+α2)+(α3+α4)=[α2+(α3+α1)]+α4( \alpha_1 + \alpha_2) + (\alpha_3 + \alpha_4) = [\alpha_2 + (\alpha_3 + \alpha_1)] + \alpha_4 for all vectors α1,α2,α3\alpha_1, \alpha_2, \alpha_3, and α4\alpha_4 in VV.

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