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There is a little error in "baseline" function

baseline <- function(R){
offset.users <- apply(tra, 1, mean, na.rm = T) - mean(apply(tra, 1, mean, na.rm = T), na.rm = T)
baseline.movies <- apply(tra, 2, mean, na.rm = T)

prediction <- matrix(offset.users, ncol = ncol(R), nrow = nrow(R)) +
matrix(baseline.movies, ncol = ncol(R), nrow = nrow(R), byrow = T)
}

Does "tra" need to change to "R" ?

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