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model.matrix from lists in r

I am trying to convert list of factors to matrix for example:

myLists:

    [[1]]
    [1] "RA"   "FZFG" "BR"  
    [[2]]
    [1] "RA"
    [[3]]
    [1] ""
    [[4]]
    [1] ""

to

RA  FZFG  BR
1    1    1
1    0    0
0    0    0
0    0    0

I tried to do the following:

allFactors<-c("RA","FZFG","BR")
mat<-model.matrix(~allFactors,  data =myLists)

but have ths error:

Error in data.frame(c("RA", "FZFG", "BR"), "RA", "", "", "", "", c("RA", : arguments imply differing number of rows: 3, 1, 2, 4, 5, 7, 6, 8, 9

Any help on this is appreciated.

One option is

library(qdapTools)
mtabulate(myLists)[-1]

Or using base R

 table(stack(setNames(myLists, seq_along(myLists)))[2:1])[,-1]

Base R option:

level = unique(unlist(lst))
do.call(rbind, lapply(lst, function(u) table(factor(u, levels=level))))

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