Matrices y determinantes (teoría + problemas)
- (suma de matrices)
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- (producto de una matriz y un escalar)
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- (multiplicación de matrices)
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- (potencia de una matriz cuadrada)
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- (matrices conmutables)
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- (propiedades de matriz triangular superior)
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- (propiedades de matriz triangular inferior)
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- (propiedades de matriz simétrica)
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- (propiedades de matriz antisimétrica)
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- (teorema)
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- (matriz idempotente)
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- (matriz involutiva)
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- (matriz nilpotente)
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- (matriz ortogonal)
(propiedades de a traza y transpuesta)
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- (matriz invertible)
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- (propiedades)
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- (cálculo de la inversa de una matriz)
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- (método de Gauss)
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- (matriz elemental)
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- (teorema)
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- (teoremas)
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- (teorema)
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- (matrices equivalentes)
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- (obs)
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- (referencias)
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- (motivación)
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- (matriz)
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- (obs 1, 2)
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- (generación de matrices mediante reglas)
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- (igualdad)
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- (tipos)
- (matriz nula)
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- (matriz cuadrada)
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- (nota: diagonal principal)
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- (traza de una matriz)
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- (tipos de matrices cuadradas)
- (matriz diagonal)
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- (matriz escalar)
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- (matriz identidad)
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- (matriz triangular inferior)
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- (matriz triangular superior)
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- (transpuesta de una matriz)
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- (matriz simétrica)
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- (matriz antisimétrica)
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- (matriz fila)
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- (matriz columna)
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- (propiedades)
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- (operaciones)
- (suma de matrices)
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- (producto de una matriz y un escalar)
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- (propiedades)
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- (multiplicación de matrices)
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- (propiedades)
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- (probs)
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- (definiciones de matrices cuadradas)
- (potencia de una matriz cuadrada)
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- (conmutables, teorema)
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- (propiedades de matriz triangular superior)
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- (propiedades de matriz triangular inferior)
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- (propiedades de matriz simétrica)
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- (propiedades de matriz antisimétrica)
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- (teorema)
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- (m. idempotente)
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- (m. involutiva)
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- (m. nilpotente)
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- (m. ortogonal)
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- (propiedades de la traza y transpuesta)
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- (probs)
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- (probs)
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- (probs: vof).
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- (probs).
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- (matriz invertible)
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- (propiedades)
(problema)
- (probs)
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- (cálculo de la inversa de una matriz)
- (operaciones elementales por filas)
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- (método Gauss)
(ejm)
- (probs)
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- (matriz elemental)
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- (teorema)
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- (teorema)
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- (teorema)
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- (equivalentes por filas)
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- (equivalentes por columnas)
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- (matrices equivalentes)
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- (referencias)
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- (función determinante)
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- (def recursiva)
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- (orden 1)
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- (orden 2)
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- (orden 3: Sarrus)
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- (propiedades)
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- (Vandermonde)
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- (menor de un elemento)
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- (cofactor de un elemento)
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- (definición de un determinante según el desarrollo de Laplace)
(ejm)
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- (otras propiedades)
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- (método práctico: pivot)
(ejm)
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- (matriz singular y no singular)
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- (propiedad)
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- (adjunta)
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- Introducción a la teoría de matrices.
- Matrices, definición, igualdad.
- Tipos de matrices:
Cuadrada, nula, diagonal, escalar, identidad, triangular superior, triangular inferior,
transpuesta, simétrica, antisimétrica.
- Operaciones con matrices: adición, sustracción y multiplicación.
- Matrices y
operaciones elementales. Definición de matriz invertible y sus propiedades.
- Matrices
equivalentes
- Determinantes.
- Función determinante. (
) - La adjunta y sus propiedades. Cálculo de la inversa de una matriz por cofactores o adjunta. (
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- Matrices semejantes
-
Introducción a la teoría de matrices.
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- Matrices, definición, igualdad.
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- Tipos de matrices:
Cuadrada, nula, diagonal, escalar, identidad, triangular superior, triangular inferior,
transpuesta, simétrica, antisimétrica. Propiedades.
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- Operaciones con matrices: adición, sustracción y multiplicación. Propiedades.
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- suma.
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- sustracción.
- multiplicación.
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- potencia.
- idempotente.
- involutiva.
- nilpotente.
- invertible.
- Matrices y
operaciones elementales.
- Definición de matriz invertible y sus propiedades.
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- (matriz elemental).
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- Matrices
equivalentes.
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- Determinantes. Función determinante. Propiedades.
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- La adjunta y sus propiedades.
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- Cálculo de la inversa de una matriz por cofactores o adjunta.
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- Matrices semejantes.
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