Vector spaces

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

7 years ago

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2

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 Video

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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