Algebra Lineal v2
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Transcript of Algebra Lineal v2
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19/10/2015 Algebra Lineal Ing. Holger Santillan C. Msc 1
Matrices
Una matriz es un arreglo rectangular de números. Una matriz con m renglones y n columnas se llama una matriz de m x n.
Matriz de coeficientes Matriz aumentada
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Cualquier vector cuyos elementos sean todos cero se denomina vector cero.
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Vector renglon i
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Nota:Se ha tomado como referencia el libro de Grossman, 7ª edicion.
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Productos vectorial y matricial
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NotaEl producto de la matriz A de m xb n yel vector columna x es una combinaciónlineal de las columnas de A.
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Multiplicación de matrices por bloques
En ciertas situaciones es prudente manejar las matrices como bloques de matrices más pequeñas, llamadas submatrices, y después multiplicar bloque por bloque en lugar de componente por componente. La multiplicación en bloques es muy similar a la multiplicación normal de matrices.
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Nota: Se ha utilizado como fuente de consulta el texto: Algebra Lineal, 7ª edición de Stanley I. Grossman, editorial Mc Graw Hill