- #1
JamesGold
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Homework Statement
Let V = {0,1} with addition defined modulo 2 (i.e. the remainder upon division by 2), and scalar multiplication given by ku = u^k for all k in the real numbers and u in V. Is the set V a vector space?
Homework Equations
The 10 axioms!
The Attempt at a Solution
I understand that to determine if V is a vector space you need to establish the ten axioms, but I don't understand what my teacher means when she says addition is defined modulo 2. Does that mean that u + v = u%2? Or u + v = v%2? Or something else?