Matrices

Aplicaciones en nuestra vida ,[object Object],[object Object],[object Object]

Matriz ,[object Object],Ejemplos ,[object Object],Definición ,[object Object],[object Object],[object Object],2a -b 5c

Denotación ,[object Object],Matrices A= a 11 a 12 a 13 ….. a 1n a 21 a 22 a 23 ….. a 2n a 31 a 32 a 33 ….. a 3n . . . . . . . . . . . . . . . . a m1 a m2 a m3 ….. a mn a 3 2 # fila # columna

Orden de una matriz ,[object Object],[object Object],Ejemplo A є K 2x3 A = ,[object Object],[object Object]

CLASES DE MATRICES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Matriz rectangular ,[object Object],Clases de matrices A = ,[object Object],[object Object]

Matriz fila ,[object Object],Clases de matrices ,[object Object],A =

Matriz Columna ,[object Object],Clases de matrices 1 -9 5 B =

Matriz Cero ,[object Object],Clases de matrices 0 0 0 0 0 0 0 0 0 0 0 0 A =

Matriz cuadrada ,[object Object],[object Object],Clases de matrices ,[object Object],[object Object],[object Object],A =

Matriz Cuadrada ,[object Object],Observaciones: Son elementos de la diagonal principal: {4; 2; 1/5} ,[object Object],Es la suma de los elementos de la diagonal principal de la matriz Tr(A) = 4 + 2 + 1/5 = 31/5 ,[object Object],[object Object],[object Object],A = n Tr(A) = ∑ a ij I = 1

Matriz Unidad Aquella matriz cuyos elementos de la diagonal principal son todos 1 Ejemplo 1 0 0 0 1 0 0 0 1 B =

Matriz Triangular ,[object Object],Ejemplo -2 5 3 0 8 6 0 0 3 A =

Matriz Escalar ,[object Object],[object Object],7 0 0 0 7 0 0 0 7 A=

Matriz Transpuesta ,[object Object],[object Object],[object Object],[object Object],A = A t =

Matriz Simétrica ,[object Object],[object Object]

Matriz Antisimétrica ,[object Object],[object Object],[object Object]

Matrices iguales ,[object Object],[object Object],[object Object],[object Object]

Aplicaciones ,[object Object],5 -3 5 1 0 4 -6 8 9 A = 5 x +y 5 1 2x - y 4 -6 8 9 B =

Matrices

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