Thanks Jeong,

I was aware of this. While there is no solution that adds vertical lines into 
matrices, one can juxtapose two (or more) of them with
properly chosen delimiters, like so:

\definemathmatrix
  [bvmatrix]
  [left={\left(\,},right={\ \right\vert}]

\definemathmatrix
  [rbmatrix]
  [left={\left.\,},right={\,\right)}]
  
\starttext
\startformula
\startbvmatrix
\NC 0 \NC  0\NC  0 \NR
\NC 1 \NC  0\NC  1 \NR
\stopbvmatrix
\startrbmatrix
\NC  0 \NR
\NC  1 \NR
\stoprbmatrix
\stopformula
\stoptext

> On May 4, 2020, at 04:25, Jeong Dal <hak...@me.com> wrote:
> 
> Dear Weber Mattias,
> 
> Please see page 10 of “mathalign.pdf” made by Aditya.
> He showed the way of writing  aligned math including  matrices.
> For example,
> 
> \startformula
> 
>  \startmatrix[left={\left(\,},right={\,\right)}]
> 
>       \NC 1 \NC 0 \NC 0 \NR
>       \NC 0 \NC 1 \NC 0 \NR
>       \NC 0 \NC 0 \NC 1 \NR
> 
>     \stopmatrix 
>   \stopformula 
> There are many other examples that you can use.
> 
> Best regards,
> Dalyoung
> 
>> Message: 2
>> Date: Sun, 3 May 2020 17:47:24 +0000
>> From: "Weber, Matthias" <matwe...@indiana.edu>
>> To: mailing list for ConTeXt users <ntg-context@ntg.nl>
>> Subject: [NTG-context] Vertical lines in matrices
>> Message-ID: <c8902576-cf86-4967-8a1b-dff66615d...@indiana.edu>
>> Content-Type: text/plain; charset="utf-8"
>> 
>> Dear List,
>> 
>> I am trying to get vertical (separating) lines into matrices, as is possible 
>> in tables:
>> 
>> \starttext
>> \startformula
>> \left(
>> \starttable[|c|c|c|]
>> \NC 0 \NC  0\VL  0 \FR
>> \NC 1 \NC  0\VL  1 \FR
>> \stoptable
>> \right)
>> \stopformula
>> \stoptext
>> 
> 
> 
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