Mathematics, 23.10.2019 06:00 LittlestRedTeal8940
Let z denote the set of all integers with addition defined in the usual way, and define scalar multiplication, denoted o, by:
alpha o k = [[alpha]].k for all k in z
where [[alpha]] denotes the greatest integer less than or equal to alpha, for example,
2.25 o 4 = [[2.25]].4 =2..4 = 8
show that z, together with these operations, is not a vector space. which axioms fail to hold?
Answers: 2
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Let z denote the set of all integers with addition defined in the usual way, and define scalar multi...
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