| Revue: | Journal of the Brazilian Society of Mechanical Sciences and Engineering |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000312152 |
| ISSN: | 1678-5878 |
| Autores: | Martins, L.C1 Oliveira, R.F. de2 |
| Instituciones: | 1Universidade Federal do Rio de Janeiro, Programa de Engenharia Mecanica, Rio de Janeiro. Brasil 2Universidade Federal do Rio de Janeiro, Programa de Engenharia Civil, Rio de Janeiro. Brasil |
| Año: | 2003 |
| Periodo: | Jul-Sep |
| Volumen: | 25 |
| Número: | 3 |
| Paginación: | 311-313 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico |
| Resumen en inglés | In this note we use elementary facts from 3-dimensional linear algebra to demonstrate the formula for area changes under arbitrary linear maps A : R3 ® R3. We do it in general, from a hint given by the well known invertible case, which is an important result used in continuum mechanics. An intrinsic formula for the case when rank A = 2 is obtained and we finish by showing that we are really exploring a property of the cofactor matrix of A for an orthonormal basis |
| Disciplinas: | Matemáticas, Física y astronomía |
| Palabras clave: | Matemáticas aplicadas, Mecánica, elasticidad y reología, Algebra lineal, Matriz de cofactores, Mecánica del medio continuo, Area |
| Keyword: | Mathematics, Physics and astronomy, Applied mathematics, Mechanics, elasticity and rheology, Linear algebra, Cofactor matrix, Continuum mechanics, Area |
| Texte intégral: | Texto completo (Ver HTML) |
