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