A] In order to define and understand a vector space, it is important to first define and understand a few other related terms. To begin with, a vector is a directed line segment, and its extension to n-dimensions leads to a vector space. The addition operation on two ordered pairs of a set is the ordered pair containing the sum of the respective elements. This is true for ‘n’ number of ordered pairs as well (n-dimensional vector space). Similarly, the scalar product operation on an ordered pair of a set is the ordered pair containing the product of the scalar with the respective elements (“Vector ...
Essays on Commutative Property
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