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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2017 by IJMTT Journal
Volume-52 Number-4
Year of Publication : 2017
Authors : Arpit Mishra
  10.14445/22315373/IJMTT-V52P532

MLA

Arpit Mishra "Alternative Methods to Prove Theorem of Intersection of Two Subspace of a Vector Space", International Journal of Mathematics Trends and Technology (IJMTT). V52(4):223-225 December 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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.

Reference
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.

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.