Linear Independence in vector space

Definition. The vectors v 1 , v 2 , ..., v 3 in the vector v space are called linearly independent if c 1 v 1 + c 2 v 2 + ... + c...

Linear Combination in Vector

Definition. A vector w is called a linear combination and vectors v 1 , v 2 , ..., v r if the vector can be expressed in form w = k 1 ...

Vector Section Space

If given a vector space V, then we may form another vector space that is a subset of S of V and use operations on V. Because V is a vector ...

Definition of Vector Space and its Theorem

Scalar addition and multiplication operations are used in diverse contexts in mathematics. Regardless of the context, however, these operat...

Vector Line and Field Equations in 3rd Dimension

In this article, the notion of vectors is used to reduce the equation of lines and fields in space-3, which is very useful in other mathema...