Question

Bunas alguien me puede ayudar a resolver los ejercicios de la imagen, son los que están marcados

Answer 1

El valor del determinante de las matrices dadas son:

Ejercicio 5: determinante = -2

Ejercicio 11: determinante = 6

Ejercicio 12: determinante = 15

Ejercicio 13 : determinante = 5

Ejercicio 14: determinante = -18

El determinante de una matriz 1x1 es el mismo numero.

5.

Det[-2] = -2

Determinante de una matriz 3x3

A =  $\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]$

Det A= a ⋅ e ⋅ i  +  b ⋅ f ⋅ g  +  d ⋅ h ⋅ c  −  c ⋅ e ⋅ g  −  b ⋅ d ⋅ i  −  f ⋅ h ⋅ a

11.

Det = − 1 ⋅ 1 ⋅ 0 + 0 ⋅ 3 ⋅ 3 + 0 ⋅ 4 ⋅ 2 − 2 ⋅ 1 ⋅ 3 − 0 ⋅ 0 ⋅ 0 − 3 ⋅ 4 ⋅ ( − 1 )  = 6

12.

Det = 3 ⋅ 1 ⋅ 5 + 5 ⋅ 0 ⋅ 3 + 0 ⋅ 4 ⋅ 0 − 0 ⋅ 1 ⋅ 3 − 5 ⋅ 0 ⋅ 5 − 0 ⋅ 4 ⋅ 3   = 15

13.

Det = 3 ⋅ ( − 1 ) ⋅ 0 + 2 ⋅ 0 ⋅ 2 + 1 ⋅ 3 ⋅ 1 − 1 ⋅ ( − 1 ) ⋅ 2 − 2 ⋅ 1 ⋅ 0 − 0 ⋅ 3 ⋅ 3   = 5

14.

Det =  2 ⋅ 4 ⋅ 1 + 5 ⋅ 0 ⋅ 2 + 3 ⋅ ( − 1 ) ⋅ 1 − 1 ⋅ 4 ⋅ 2 − 5 ⋅ 3 ⋅ 1 − 0 ⋅ ( − 1 ) ⋅ 2   = − 18