Definition of a (real) vector space; properties of the zero vector and the additive inverse in relation to scalar multiplication

- Created On
- August 25th, 2017
- 6 years ago
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- English
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##### Axioms of a vector space, arbitrary vector space math.la.d.vsp.axioms.arb

##### Definition of vector, arbitrary vector space math.la.d.vec.arb

##### Definition of vector addition, arbitrary vector space math.la.d.vec.add.arb

##### Definition of vector-scalar multiplication, arbitrary vector space math.la.d.vec.scalar.mult.arb

##### The additive inverse of a vector is called the negative of the vector. math.la.d.vsp.vector.negative

##### The zero scalar multiplied by any vector equals the zero vector. math.la.t.vsp.scalar.mult.z

##### The zero vector multiplied by any scalar equals the zero vector. math.la.t.vsp.vector.mult.z

##### The negative of a vector equals the vector multiplied by -1. math.la.t.vsp.vector.negative