Bilinear Transformations and Forms

Jonathan S. Golan ()
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Jonathan S. Golan: University of Haifa, Dept. of Mathematics

Chapter 20 in The Linear Algebra a Beginning Graduate Student Ought to Know, 2012, pp 453-478 from Springer

Abstract: Abstract Bilinear transformations and bilinear forms are introduced and studied. Their matrix representation, and especially the representation of symmetric bilinear forms, is presented. Orthogonality relative to a bilinear form is considered. These notions are then used to define the tensor product of vector spaces, and the properties of the tensor product are considered in detail.

Keywords: Bilinear Transformation; Symmetric Bilinear Form; Single Vector Space; Tensor Product; Congruent Matrices (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-007-2636-9_20

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DOI: 10.1007/978-94-007-2636-9_20

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