Let and be eigenvectors of a matrix A, with corresponding eigenvalue and , and let and be scalars. Define:
- What is by definition?
- Compute from the formula for and show that This calculation will prove that the sequence defined above satisfies the difference equation
Passo 1
Faaaaaala, galera... Tranquileba??
Temos resposta dada no estado, isto é:
Passo 2
Para b)
Sabendo que:
Podemos fazer:
Assim podemos fazer:
E desde que e sejam autovetores:
Resposta
a)