function X_rec = recoverData(Z, U, K)
  ##RECOVERDATA Recovers an approximation of the original data when using the 
  ##projected data
  ##   X_rec = RECOVERDATA(Z, U, K) recovers an approximation the 
  ##   original data that has been reduced to K dimensions. It returns the
  ##   approximate reconstruction in X_rec.
  ##
  
  X_rec = Z*U(:, 1:K)';

end