Modify an element or a row of a matrix : subsop

### 2.42.13 Modify an element or a row of a matrix : `subsop`

`subsop` modifies an element or a row of a matrix. It is used mainly for `Maple` and `MuPAD` compatibility. Unlike `:=` or `=<`, it does not require to store the matrix in a variable.
`subsop` takes two or three arguments, these arguments are permuted in `Maple` mode.

1. Modify an element
   - In `Xcas` mode, the first index is 0
     `subsop` has two (resp three) arguments: a matrix `A` and an equality `[r,c]=v` (resp a matrix `A`, a list of index `[r,c]`, a value `v`).
     `subsop` replaces the element `A[r,c]` by `v`.
     Input in `Xcas` mode :
     `subsop([[4,5],[2,6]],[1,0]=3)`
     Or :
     `subsop([[4,5],[2,6]],[1,0],3)`
     Output :
     `[[4,5],[3,6]]`
     Remark
     If the matrix is stored in a variable, for example `A:=[[4,5],[2,6]]`, it is easier to input `A[1,0]:=3` which modifies `A` into the matrix
     `[[4,5],[3,6]]`.
   - In `Mupad, TI` mode, the first index is 1
     `subsop` has two (resp three) arguments: a matrix `A` and an equality `[r,c]=v` (resp a matrix `A`, a list of index `[r,c]`, a value `v`).
     `subsop` replaces the element `A[r,c]` by `v`.
     Input in `Mupad, TI` mode :
     `subsop([[4,5],[2,6]],[2,1]=3)`
     Or :
     `subsop([[4,5],[2,6]],[2,1],3)`
     Output :
     `[[4,5],[3,6]]`
     Remark
     If the matrix is stored in a variable, for example `A:=[[4,5],[2,6]]`, it is easier to input `A[2,1]:=3` which modifies `A` into the matrix
     `[[4,5],[3,6]]`.
   - In `Maple` mode, the arguments are permuted and the first index is 1
     `subsop` has two arguments: an equality `[r,c]=v` and a matrix `A`.
     `subsop` replaces the element `A[r,c]` by `v`.
     Input in `Maple` mode
     `subsop([2,1]=3,[[4,5],[2,6]])`
     Output :
     `[[4,5],[3,6]]`
     Remark
     If the matrix is stored in a variable, for example `A:=[[4,5],[2,6]]`, it is easier to input `A[2,1]:=3` which modifies `A` into the matrix
     `[[4,5],[3,6]]`.
2. Modify a row
   - in `Xcas` mode, the first index is 0
     `subsop` takes two arguments : a matrix and an equality (the index of the row to be modified, the `=` sign and the new row value).
     Input in `Xcas` mode :
     `subsop([[4,5],[2,6]],1=[3,3])`
     Output :
     `[[4,5],[3,3]]`
     Remark
     If the matrix is stored in a variable, for example `A:=[[4,5],[2,6]]`, is is easier to input `A[1]:=[3,3]` which modifies `A` into the matrix
     `[[4,5],[3,3]]`.
   - In `Mupad, TI` mode, the first index is 1
     `subsop` takes two arguments : a matrix and an equality (the index of the row to be modified, the `=` sign and the new row value).
     Input in `Mupad, TI` mode :
     `subsop([[4,5],[2,6]],2=[3,3])`
     Output :
     `[[4,5],[3,3]]`
     Remark
     If the matrix is stored in a variable, for example `A:=[[4,5],[2,6]]`, it is easier to input `A[2]:=[3,3]` which modifies `A` into the matrix
     `[[4,5],[3,3]]`.
   - in `Maple` mode, the arguments are permuted and the first index is 1 :
     `subsop` takes two arguments : an equality (the index of the row to be modified, the `=` sign and the new row value) and a matrix.
     Input in `Maple` mode :
     `subsop(2=[3,3],[[4,5],[2,6]])`
     Output :
     `[[4,5],[3,3]]`
     Remark
     If the matrix is stored in a variable, for example `A:=[[4,5],[2,6]]`, it is easier to input `A[2]:=[3,3]` which modifies `A` into the matrix
     `[[4,5],[3,3]]`.

Remark
Note also that `subsop` with a `’n=NULL’` argument deletes row number `n`. In `Xcas` mode input :

`subsop([[4,5],[2,6]],’1=NULL’)`

Output :

`[[4,5]]`