Hi everybody, I am writing to ask if anyone has any idea about the lexicographic order matrices, this is if I have the following matrices {{1,2,3}, {4,7,5}, {6,0,8}} and {{1, 2,3}, {4,5,0}, {6,7,8}} and {{1,0,3}, {4,2,5}, {6,7,8}} as knowing which has either higher or lower lexicographical order.
I hope someone has understood my question.
Are you looking for something like
In[3]:= Sort[ { {{1, 2, 3}, {4, 7, 5}, {6, 0, 8}}, {{1, 2, 3}, {4, 5,
0}, {6, 7, 8}} , {{1, 0, 3}, {4, 2, 5}, {6, 7, 8}} }]
Out[3]= {{{1, 0, 3}, {4, 2, 5}, {6, 7, 8}}, {{1, 2, 3}, {4, 5, 0}, {6,
7, 8}}, {{1, 2, 3}, {4, 7, 5}, {6, 0, 8}}}
In this case, numerical order and lexical order are the same.
The ordering procedure that Sort uses is described in the Details section of ref/Sort .