This will do it:
A = [ 1 0 0
0 1 1
1 1 0]
[rows, columns] = size(A)
% Get a random column.
randomColumn = randi(columns)
% Get indexes of the other columns.
otherColumns = setdiff(1:columns, randomColumn)
% Take that random column, and tack on the other columns to the right of it.
outputMatrix = A(:, [randomColumn, otherColumns])
For example:
A =
1 0 0
0 1 1
1 1 0
randomColumn =
2
otherColumns =
1 3
outputRowVector =
0 1 0
1 0 1
1 1 0
