Vector Spaces and Matrices

Garret Sobczyk
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Garret Sobczyk: Universidad de Las Américas, Departamento de Física y Matemáticas

Chapter Chapter 4 in New Foundations in Mathematics, 2013, pp 67-83 from Springer

Abstract: Abstract We begin this chapter with the formal definition of a vector space. Multiplication of matrices is defined in terms of the product of a row vector and a column vector. Since the rules of matrix algebra over the real and complex numbers are identical to the rules of the addition and multiplication of geometric numbers, it makes sense to consider matrices whose entries are geometric numbers alongside the more traditional matrices of real and complex numbers.

Keywords: Vector Space; Geometric Number; Matrix Algebra; Real Column Vectors; Geometric Algebra (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-0-8176-8385-6_4

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