ON THE KERNEL METHOD COMPARED TO THE MATRIX INVERSION METHOD FOR PASSING FROM A DUAL BASIS TO THE BASIS OF A VECTOR SPACE

ON THE KERNEL METHOD COMPARED TO THE MATRIX INVERSION METHOD FOR PASSING FROM A DUAL BASIS TO THE BASIS OF A VECTOR SPACE

In this work, we study and compare two methods for passing from a dual basis to the basis of a finite-dimensional vector space by recalling the passage from a basis to its dual. For the inverse transition, we clarify the kernel method for linear forms and the matrix inversion method, the former expl...

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Bibliographic Details
Main Authors: Michael Kilela Makiese, Pongo Ngentshi Benoit, Milolo Kanimuambidi Lea-Irene, Bompoma Elese Ruphin, Mubikayi Kabumvu Serge
Format: Article
Language:English
Published: UPT Publikasi dan Pengelolaan Jurnal Universitas Islam Kalimantan Muhammad Arsyad Al Banjari 2025-08-01
Series:Al-Ulum
Subjects:
basis
dual basis
dual space
kernel method
orthogonal basis
Online Access:https://ojs.uniska-bjm.ac.id/index.php/JST/article/view/19337
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