Álgebra Lineal Clase 11
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Video Source: www.youtube.com/watch?v=xQY8P5Olvgw
Curso de apoyo virtual de Álgebra Lineal. Elaborado por el profesor Juan Diego Vélez Caicedo y el estudiante Jeferson Zapata Nieto, de la Facultad de Ciencias de la Universidad Nacional de Colombia. • Contenido de los videos: • Clase 1.1: Vectores • Clase 1.2: Vectores en Rn - Representación y norma • Clase 1.3: Vectores en Rn - Ángulo entre vectores y producto punto • Clase 1.4: Vectores en Rn - Geogebra y proyección de vectores • Clase 1.5: Algunos ejemplos • Clase 1.6: Sistemas de ecuaciones lineales • Clase 1.7: Método de eliminación de Gauss Parte1 • Clase 1.8: Método de eliminación de Gauss Parte2 • Clase 1.9: Método de eliminación de Gauss Parte3 • Clase 1.10: Método de eliminación de Gauss-Jordan - Ejemplo • Clase 2.1: Combinación lineal de vectores • Clase 2.2: Combinación lineal de vectores y sistemas de ecuaciones • Clase 2.3: Subespacios generados por vectores • Clase 2.4: Algunas aplicaciones de los sistemas de ecuaciones lineales (primera parte) • Clase 2.5: Algunas aplicaciones de los sistemas de ecuaciones lineales (segunda parte) • Clase 2.6: Balanceo de ecuaciones químicas (primera parte) • Clase 2.7: Balanceo de ecuaciones químicas (segunda parte) • Clase 3.1: Álgebra de matrices (primera parte) • Clase 3.2: Álgebra de matrices (segunda parte) • Clase 3.3: Matrices y sistemas de ecuaciones • Clase 3.4: Inversa de una matriz 2x2 • Clase 3.5: Inversa de una matriz nxn • Clase 3.6: Transpuesta de una matriz • Clase 3.7: Determinante de una matriz (primera parte) • Clase 3.8: Determinante de una matriz (segunda parte) • Clase 4.1: Subespacios, bases y dimensión (primera parte) • Clase 4.2: Subespacios, bases y dimensión (segunda parte) • Clase 4.3: Subespacios, bases y dimensión (tercera parte) • Clase 4.4: Subespacios, bases y dimensión (cuarta parte) • Clase 4.5: Subespacios, bases y dimensión (quinta parte) • Clase 4.6: Nulidad y rango • Clase 4.7: Transformaciones lineales (primera parte) • Clase 4.8: Transformaciones lineales (segunda parte) • Clase 4.9: Rango y núcleo (primera parte) • Clase 4.10: Rango y núcleo (segunda parte) • Clase 4.11: Rango y núcleo (tercera parte) • Clase 5.1: Valores y vectores propios (primera parte) • Clase 5.2: Valores y vectores propios (segunda parte) • Clase 5.3: Semejanza y diagonalización (primera parte) • Clase 5.4: Semejanza y diagonalización (segunda parte) • Clase 5.5: Semejanza y diagonalización (tercera parte) • Clase 5.6: Vectores ortogonales • Clase 5.7: Complemento ortogonal • Clase 5.8: Complemento ortogonal y proyecciones • Clase 5.9: Bases ortonormales (Gram-Schmidt) • Clase 5.10: Diagonalización de matrices simétricas (primera parte) • Clase 5.11: Diagonalización de matrices simétricas (segunda parte) • Clase 5.12: Diagonalización de matrices simétricas 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