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Subspace of the Vector Space

	International Journal of Scientific Research and Engineering Development (IJSRED)	Full Text:
	Published Issue : Volume-4 Issue-1
	Year of Publication : 2021
	Unique Identification Number : IJSRED-V4I1P15
	Authors : Miakhel Samimullah
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Abstract :

The paper presents the result of the research on Subspace of the vector space presented. In the research work we used foreign reliable sources and materials. Linear algebra is the study of linear maps on finite-dimensional vector spaces and subspace. In this paper we will define subspace and will discuss their properties. In many applications in linear algebra, vector spaces occur as subspaces of larger spaces. For instance, as we know that the solution set of a homogeneous system of linear equations in variables is a subspace. A nonempty subset of a vector space is a subspace when it is a vector space (with the same operations defined in the original vector space). Subspace and their ancillary structures provide the common language of linear algebra, and, as such, are an essential prerequisite for understanding contemporary applied (and pure) mathematics.