mytarmail opened a new issue, #37103:
URL: https://github.com/apache/arrow/issues/37103

   ### Describe the usage question you have. Please include as many useful 
details as  possible.
   
   
   imagine that I have a huge matrix (small example)
   ```
   dat <- matrix(1:100,ncol = 10) 
   colnames(dat) <- paste0("X",1:ncol(dat))
   dat
         X1 X2 X3 X4 X5 X6 X7 X8 X9 X10
    [1,]  1 11 21 31 41 51 61 71 81  91
    [2,]  2 12 22 32 42 52 62 72 82  92
    [3,]  3 13 23 33 43 53 63 73 83  93
    [4,]  4 14 24 34 44 54 64 74 84  94
    [5,]  5 15 25 35 45 55 65 75 85  95
    [6,]  6 16 26 36 46 56 66 76 86  96
    [7,]  7 17 27 37 47 57 67 77 87  97
   ```
   this matrix is divided into `columns` and written in several files
   ```
   path <- paste0(getwd(),"/example/")
   dir.create(path = path)
   colum_id <- matrix(1:10,ncol = 2,byrow = T)
   for(i in 1:nrow(colum_id)) write.csv(dat[,colum_id[i,]], file = 
paste0(path,i,".csv"), row.names = F)
   ```
   files in a folder
   ```
   dir(path)
   [1] "1.csv" "2.csv" "3.csv" "4.csv" "5.csv"
   ```
   ..
   ```
   paths <- paste0(path,dir(path))
   lapply(paths , \(Path) head(read.csv(Path),2) )
   
   [[1]]
     X1 X2
   1  1 11
   2  2 12
   
   [[2]]
     X3 X4
   1 21 31
   2 22 32
   
   [[3]]
     X5 X6
   1 41 51
   2 42 52
   
   [[4]]
     X7 X8
   1 61 71
   2 62 72
   
   [[5]]
     X9 X10
   1 81  91
   2 82  92
   ```
   The question is how can I read this matrix (out of memory) in the arrow so 
that I can access to any element of the full matrix.
   All the examples that I saw with the use of the arrow were with reading 
files separated by lines but not by columns.
   
   ### Component(s)
   
   R


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