Question: Using matrix diagonalisation, solve the following system of first order difference equations: xn+1 = 6xn + yn yn+1 = 5xn + 2yn with initial conditions

  1. Using matrix diagonalisation, solve the following system of first order difference equations: xn+1 = 6xn + yn yn+1 = 5xn + 2yn

with initial conditions x0 = 1 and y0 = 1.

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