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Desafío rápido de matrices

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Quiz sobre conceptos clave

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Ecuador

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Desafío rápido de matrices
 

Desafío rápido de matricesOnline version

Quiz sobre conceptos clave

by BENITEZ CEDEÑO AILYN GUADALUPE
1

La suma de dos matrices del mismo tamaño se realiza elemento a elemento.

2

Una matriz A de tamaño m×n tiene transpuesta Aᵀ de tamaño n×m.

3

Aᵀ tiene siempre la misma forma que A.

4

El producto de una matriz por su inversa (si existe) da la identidad.

5

La suma de matrices no cambia si se intercambian los summandos.

6

Toda matriz tiene inversa.

7

El determinante solo se puede calcular si la matriz es cuadrada.

8

La inversa de una matriz A existe si y solo si det(A) ≠ 0.

9

El determinante se puede calcular para cualquier matriz (sin ser cuadrada).

10

El producto AB es conmutativo (AB = BA) para todas matrices compatibles.

11

Una matriz no cuadrada puede ser diagonal.

12

Una matriz simétrica siempre es antisimétrica.

13

La matriz identidad es una matriz diagonal con unos en la diagonal.

14

Una matriz nula es igual a la identidad.

15

Una matriz circular no existe en álgebra lineal.

16

Una matriz triangular superior tiene ceros debajo de la diagonal.

17

Todas las matrices invertibles son diagonales.

18

Una matriz simétrica es igual a su transpuesta.

19

Una matriz cuadrada tiene el mismo número de filas y columnas.

20

Una matriz diagonal tiene todos los elementos fuera de la diagonal iguales a cero.

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