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2016•Delta-Pi Jurnal Matematika dan Pendidikan MatematikaOpen access

HUBUNGAN ANTARA PEMETAAN LINEAR DAN BILINEAR

Mustafa A. H. Ruhama

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Abstract

Let U, V and W are vector spaces at the same field, phi : U → V is linear mapping and is complex numbers. L (U,V) the collection of all linear mapping phi : U → V . If V = C that is linear functional. Let phi : U → V bilinear mapping, if W = C that phi is bilinear functional. The collection of all bilinear mapping phi : U x V → W denoted with B(U,V,W). Based on the explanation above, problems we will discuss about relation between linear mapping, bilinear mapping and bilinear functional, some properties at bilinear mapping.

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What this paper is about

Let U, V and W are vector spaces at the same field, phi : U → V is linear mapping and is complex numbers. L (U,V) the collection of all linear mapping phi : U → V . If V = C that is linear functional. Let phi : U → V bilinear mapping, if W = C that phi is bilinear functional. The collection of all bilinear mapping phi : U x V → W denoted with B(U,V,W). Based on the explanation above, problems we will discuss about relation between linear mapping, bilinear mapping and bilinear functional, some properties at bilinear mapping.

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Available abstract

Let U, V and W are vector spaces at the same field, phi : U → V is linear mapping and is complex numbers. L (U,V) the collection of all linear mapping phi : U → V . If V = C that is linear functional. Let phi : U → V bilinear mapping, if W = C that phi is bilinear functional. The collection of all bilinear mapping phi : U x V → W denoted with B(U,V,W). Based on the explanation above, problems we will discuss about relation between linear mapping, bilinear mapping and bilinear functional, some properties at bilinear mapping.

Key concepts: Bilinear map, Bilinear interpolation, Mathematics, Symmetric bilinear form, Bilinear form, Linear form, Combinatorics, Pure mathematics

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