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Vector Space Axiom
Ten Axioms of Vector Space
Question | Answer |
---|---|
Axiom 1 | Closure under ADDITION |
Axiom 2 | Closure under SCALAR MULTIPLICATION |
Axiom 3 | Cummutativity of ADDTION |
Axiom 4 | Associativity of ADDTION |
Axiom 5 | Existance of a ZERO VECTOR |
Axiom 6 | Existance of ADDITIVE INVERSE in V |
Axiom 7 | Unit Propery |
Axiom 8 | Associativity of SCALAR MULITIPLICATION over vector ADDITION |
Axiom 9 | Distributive property of SCALAR MULITPLICATION over SCALAR ADDITION |
Axiom 10 | Distributitve property of SCALAR MULITIPLICATION over SCALAR ADDITION |