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Sistemas lineales: Matrices y Gauss

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Sistemas lineales: Matrices y Gauss

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Preguntas sobre matrices

Created by

Samaria Galaviz
Samaria Galaviz
Mexico

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Sistemas lineales: Matrices y Gauss
 

Sistemas lineales: Matrices y GaussOnline version

Preguntas sobre matrices

by Samaria Galaviz
1

¿Qué es una matriz en el contexto de la teoría de matrices y sistemas de ecuaciones?

2

Si una matriz tiene 3 filas y 4 columnas, ¿cuál es su dimensión o tamaño?

3

¿Qué condición es indispensable para poder sumar o restar dos matrices?

4

¿Qué es una matriz aumentada en el estudio de sistemas de ecuaciones lineales?

5

En el método de eliminación de Gauss, ¿cuál es el objetivo principal al transformar la matriz aumentada?

6

¿Cuál es la diferencia principal entre el método de Gauss y el método de Gauss-Jordan?

7

¿Cuál de las siguientes acciones NO es una operación elemental de fila permitida en las matrices aumentadas?

8

Al resolver un sistema por Gauss, si una fila de la matriz aumentada queda como [ 0 0 0 | 5 ], ¿qué significa respecto al sistema?

9

Al reducir una matriz, si una fila se elimina por completo quedando [ 0 0 0 | 0], en un sistema que sí es consistente, ¿qué nos indica?

10

Si multiplicas una matriz de dimensión 2×3 por una matriz de dimensión 3×2, ¿cuál será la dimensión de la matriz resultante?

Explicación

Una matriz es una herramienta algebraica que organiza datos numéricos en filas y columnas, lo que facilita el manejo de los coeficientes de un sistema.

La suma y resta de matrices se realiza elemento por elemento, por lo que es obligatorio que compartan el mismo número de filas y columnas.

 
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