External Composition : LInear Algebra

 External Composition : 

       An external composition means it is a binary operation performed between two different kinds of elements.

  For example : 

   In the definition of vector space, The scalar multiplication condition is an external composition because

 the scalar multiplication condition is  

               for a, 𝞊 F and 𝜶 𝞊  V ⇒  a𝜶 𝞊  V

    In this condition the product a𝜶 performed between a scalar a and a vector 𝜶

                                         ***

* The fourth dimensional objects

* what is a dimension of an object? 

* The Euclidean space  ℛ n

* Historical Introduction to Linear Algebra
































































#vector #algebra #vector algebra   #iit #jee #mains #dimension #basis

            

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