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ilyas.h
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Homework Statement
Let V be a vector space over the field F. The constant, a, is in F and vectors x, y in V.
(a) Show that a(x - y) = ax - ay in V .
(b) If ax = 0_V show that a = 0_F or x = 0_V .
Homework Equations
axiom 1: pv in V, if v in V and p in F.
axiom 2: v + v' in V if v, v' in V
The Attempt at a Solution
(a) x - y = x + (-y)====> (x+ (-y)) in V (axiom 2)
====> a(x + (-y)) in V (axiom 1)(b)...?
how would I start part (b)?
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