A set \(V_{n} = \left\{u,v,w,\cdots,\right\} \) is called a vectorspace if its elements are closed under the rule of both addition and scalar multiplication. The elements of a vector space \(V_{n}\) are called the vectors if each vector is also a set of \(n\) - other vectors such that \(\vec{u} = \left\{u_{1},u_{2},u_{3},\cdots, u_{n}\right\}\text{;}\)\(\vec{v} = \left\{v_{1}, v_{2}, v_{3},\cdots, v_{n}\right\}\text{;}\) etc.
