Alternative Methods to Prove Theorem of
Intersection of Two Subspace of a Vector Space

Arpit Mishra

doi:https://doi.org/10.14445/22315373/IJMTT-V52P532

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 4 | Year 2017 | Article Id. IJMTT-V52P532 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P532

Alternative Methods to Prove Theorem of Intersection of Two Subspace of a Vector Space

Arpit Mishra

Abstract

In this paper, we study about alternative methods by which we can proof the theorem, Intersection of any two subspaces of a vector space V(F) is again a subspace of V(F). We all are familiar with the methods of proving the given theorems mentioned in books as reference books but there are also other methods by which we can prove the theorem using some theorems directly as statements.

Keywords

Vector Space, Vector-Subspace, Necessary and Sufficient Condition of Vector Subspace to be a subspace, Linear Sum of Two Subspace of a Vector space.

References

1. Linear Algebra 4th Edition by Seymour Lipschutz (Temple University) and Marc Lars Lipson (University of Virginia), ISBN : 978-0-07-154353-8.
2. Halmos, Paul Richard,1916, Finite- Dimensional Vector Spaces,reprint of 2nd ed. Published by D. Van Nostrand Co., Princeton,1958. (Springer)
3. Linear Algebra 2nd Edition by Kenneth Hoffman (Massachusetts Institute of Technology) and Ray Kunze(University of California,Irvine).
4. Linear Algebra And Matrices by S.J. Publications (A unit of Kedar Nath Ram Nath), Edition-2015.
5. Linear Algebra And Matrices (Textbook) by Vigyan Bodh Prakashan, ISBN : 978-81-924048-3-7.

Citation :

Arpit Mishra, "Alternative Methods to Prove Theorem of Intersection of Two Subspace of a Vector Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 4, pp. 223-225, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P532