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Desafío de Matrices: Sumas, Restas y Producto

Quiz

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Quiz de operaciones con matrices

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Desafío de Matrices: Sumas, Restas y Producto
 

Desafío de Matrices: Sumas, Restas y ProductoOnline version

Quiz de operaciones con matrices

by YUBER PACHECO
1

¿Qué tamaño deben tener dos matrices para poder sumarlas?

2

Si A y B son 2×2, ¿cuál es la suma de A=[[1,2],[3,4]] y B=[[5,6],[7,8]]?

3

La resta de matrices se aplica cuando?

4

A es 2×3 y B es 3×2. ¿Qué tamaño tiene A×B?

5

¿Es correcto decir que A(2×3)×B(3×4) da una matriz de 2×4?

6

¿Se puede multiplicar A(3×3) por B(3×2)?

7

¿Qué propiedad describe A+(B+C) = (A+B)+C?

8

Si C = A×B y D = B×A, ¿C ≡ D siempre?

9

Al multiplicar A(2×2) por x(2×1), ¿la salida es?

10

Propiedad correcta de la multiplicación: A(B+C) = ?

Explicación

La suma solo es posible si las matrices tienen las mismas dimensiones.

Suma por elemento: (1+5,2+6) y (3+7,4+8).

La resta requiere igual tamaño para restar elemento a elemento.

Las dimensiones se multiplican: (2×3)×(3×2) = 2×2.

El producto entre (2×3) y (3×4) resulta en (2×4).

Las dimensiones permiten (3×3)×(3×2) = 3×2.

Es la propiedad asociativa de la suma.

El producto no es conmutativo en matrices en general.

El resultado mantiene filas de A y columnas de x: 2×1.

Distribución por la suma en matrices: AB+AC.

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