Left-invertible Linear Transformations


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Authors

  • Gezahagne Mulat Addis Department of Mathematics, Dilla University, Dilla, Ethiopia

Keywords:

Injective linear transformations, Left-invertible linear transformations, Left-Cancellable linear transformations, a basis for a vector space

Abstract

In this paper we consider a linear transformation $T$ of an $n$ -dimensional vector space V into an $m$-dimensional vectorspace W and we provide necessary and sufficient conditions for ${T}$ to have an inverse from the left side. Moreover, we characterize the class of all left inverses of ${T}$.

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Published

15-10-2015

How to Cite

Gezahagne Mulat Addis. (2015). Left-invertible Linear Transformations. International Journal of Mathematics And Its Applications, 3(3 - C), 41–48. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/466

Issue

Vol. 3 No. 3 - C (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.