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Hallar los autovalores reales autovectores de una base de au-
tovectores cuando sea posible, de las matrices:
a) , b) , c)

Ask by Valdez Schmidt. in Spain
Dec 27,2024

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Para calcular los autovalores y autovectores de las matrices dadas, comenzaremos por cada matriz una a una.
a) Para la matriz :
  1. Calculamos el polinomio característico igualando el determinante a cero:
    Resolvemos usando la fórmula cuadrática:
  2. Para :
    Resolviendo , encontramos .
  3. Para :
    Resolviendo , encontramos .
b) Para la matriz :
  1. Calculamos :
    Resolvemos :
  2. Para y , procedemos de manera similar y encontramos sus respectivos autovectores.
c) Para la matriz :
  1. Calcular : Resolvemos .
d) Para la matriz :
  1. Calculamos sabiendo que: Con esto, también resolvemos para los autovalores.
Finalmente, se puede observar que, dependiendo de los autovalores, los autov

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