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Chapter: Introduction to Matrices and Vectors
Matrices and vectors are interesting mathematical objects on their own. They are frequently used in the linear algebra in many other mathematical disciplines. While we will study their properties later in more detail, in this section we shall limit ourselves to some basic definitions and notations needed to proceed with our study of systems of linear equations.
Table of Contents
 Definition: Matrix, Set of Matrices over a Field
 Definition: Transposed Matrix
 Definition: Column Vectors and Row Vectors
 Section: Addition of Matrices and Vectors
 Definition: Square Matrix
 Definition: Matrix Multiplication
 Definition: Identity Matrix
 Definition: Invertible and Inverse Matrix
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References
Bibliography
 Knabner, P; Barth, W.: "Lineare Algebra  Grundlagen und Anwendungen", Springer Spektrum, 2013