obtain a sequence from a matrix

i have a matrix as shown below

from the above matrix "M" of size 11 x 11, i need to get "output" of size 1 x 11... i need to get a sequence written in red color below the image...

start from i = 1; M(i,1); save output = M(i,1); go to the i = 2; M(i,1); eg: 4 go to 1st row of 4th col; M(1,4) - save that to output = [1 4]; go to M(2,4) - go to that column - i.e. M(1,2) - save that to output = [1 4 2] repeat till all numbers from 1 to 11 are obtained without repetion..

if repeated go to M(j,col) where j is the non-repeated row value of that particular column....

please can someone help me how to goto the column i need ....

[Sivakumaran Chandrasekaran]

initially you practise with input having 1 column, after understanding proceed for two columns, after understanding proceed for three columns.. then proceed for this image which you shared. you will get it.

Answer 1

[Guillaume]

Please post matlab code in addition to a picture so we don't have to type your matrix ourselves.

M = [1 2 3 4 5 6 7 8 9 10 11;
     4 5 6 5 2 5 4 5 6 1 3; 
     10 4 11 2 4 2 10 4 11 7 9;
     2 6 2 8 6 8 8 6 8 4 6]; %demo data shortened as I'm not going to type it all

v = M(1, 1); %starting point
currentcolumn = 1;
while currentcolumn
   currentcolumn = M(find(~ismember(M(:, currentcolumn), v), 1), currentcolumn); %find the 1st row of M(:, currentcolumn) that is not a member of V. Use the value at that row as the new currentcolumn
   v = [v, currentcolumn];
end

[Elysi Cochin]

thank you so much sir...