Outer Product and Determinants

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

Chapter Chapter 5 in New Foundations in Mathematics, 2013, pp 85-93 from Springer

Abstract: Abstract The outer product of vectors is closely related to the concept of a determinant. The outer products of vectors and determinants are very important tools in the study of the structure of a linear transformation. A set of vectors is linearly independent if and only if the outer product of those vectors is not zero. Whereas a determinant is scalar valued, the outer product characterizes the oriented direction of the subspace spanned by the set of vectors.

Keywords: Outer Product; Equivalent Vector Form; Trivector; General Bivector; Simple Bivector (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-0-8176-8385-6_5

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