Linear Algebra pp 227-268 | Cite as

Linear Transformations and Matrices

Part of the Compact Textbooks in Mathematics book series (CTM)


The goal of this chapter is to make a connection between matrices and linear transformations. So, let E and F be two finite-dimensional vector spaces over the same field \(\mathbb{K}\) such that \(\dim _{\mathbb{K}}E = n\) and \(\dim _{\mathbb{K}}F = m\). Then, according to Theorem  4.6.1, both spaces have bases.


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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Mathematics, College of SciencesUniversity of SharjahSharjahUnited Arab Emirates

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