#[An AI assistant can be in one of three states:][Un asistente IA puede estar en uno de tres estados:]#
  1. %0[0]
  2. %0[1]
  3. %0[2]
At each time step, the AI assistant can move to another one of these states or stay in its current state with probabilities given by the following transition matrix:
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a. #[What is the %8-step transition matrix?][¿Qué es la matriz de transición de %8 pasos?]# The entries should be accurate to three decimal places
#[Hint][Pista]#: We suggest you use the matrix multiplication utility to calculate powers and products of matrices
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