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# This function gives a matrix created by multiplying
#(Pointwise multiplication) a Matrix M by each column of Matrix S
Yproduct <- function(S, M){
product <- matrix(NA, nrow(S), ncol(S)*ncol(M))
for (i in 1:ncol(S)) {
product[,(1 + ncol(M)*(i-1)):(ncol(M)*i)] <- S[,i]*M
}
return(product)
}
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