Teaching and learning eigentheory in University linear algebra: a multifaceted analysis through different theoretical le...
L'abstract è presente nell'allegato / the abstract is in the attachment
Paradigms of linear algebra
This study is part of the ECOS-ANID C22H03 project, which involves four universities in Chile and France: UV, UPLA, PUCV (Chile) and UPCité (France). The aim of this project is to characterise and analyse the personal mathematical work of future teachers of mathematics in linear algebra at the beginning of university. It also aims to develop open t...
Aspectos Geométricos y Algebraicos de la Teoría Neo Riemanniana y Pitch-Class Set
En este artículo, por medio del álgebra lineal, se propone un método matemático para representar y componer progresiones armónicas. Primero, en relación con los acordes y los conjuntos de notas, se retoman los conceptos matemáticos de la teoría neoriemanniana y pitch-class set, para obtener las respectivas ecuaciones. En segundo lugar, con la fórmu...
A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis
Explicit time integration schemes coupled with Galerkin discretizations of time-dependent partial differential equations require solving a linear system with the mass matrix at each time step. For applications in structural dynamics, the solution of the linear system is frequently approximated through so-called mass lumping, which consists in repla...
Surface science insight note: A linear algebraic approach to elucidate native films on Fe3O4 surface
Standard materials are often used to obtain spectra that can be compared to those from unknown samples. Spectra measured from these known substances are also used as a means of computing sensitivity factors to allow quantification by X-ray photoelectron spectroscopy (XPS) of less well-defined materials. Spectra from known materials also provide lin...
Linear Algebra : Homework Assignments With Handwritten Solutions / Lineární algebra : zadání domácích prácí se vzorovým ...
This work consists of two main parts.The first part is a collection of problems designed for students to work on individually outside of class. The second part contains handwritten solutions to the problems included in the first part. This material is intended to serve as homework, aiding students in their individual practice of Linear Algebra skil...
Lectures on Linear Algebra : Presentation Slides / Přednášky z lineární algebry : Slidy prezentací
The zip file "Lectures_on_Linear_Algebra" contains presentation slides in PDF format for lectures on Linear Algebra, as part of the course with the code 470-2205/02. Each file corresponds to a chapter of the curriculum covered in the specified course. The lectures adhere to the content of the Czech version of "The Lectures on Linear Algebra" by the...
Linear Algebra : Exercises / Lineární algebra : neřešené příklady
This work is a collection of exercises without worked-out solutions, but with correct results provided. These exercises are intended to help students of Linear Algebra individually test their acquired knowledge and practice their skills in the subject. Exercises are thematically divided into sections corresponding to the topics covered in lectures ...
Linear Algebra : Handwritten Examples - Seminar Supplement / Lineární algebra : Ručně zapsané řešené příklady - Doplňují...
This work is thematically divided into 13 sections corresponding to the topics covered in ”Lectures on Linear Algebra”. Each section contains examples with handwritten solutions accompanied by explanatory comments. While not all, many of the examples presented here are solved during course seminars.This material is intended to aid students enrolled...
Enumeration and Updates for Conjunctive Linear Algebra Queries Through Expressibility
Due to the importance of linear algebra and matrix operations in data analytics, there is significant interest in using relational query optimization and processing techniques for evaluating (sparse) linear algebra programs. In particular, in recent years close connections have been established between linear algebra programs and relational algebra...
