random matrix with specific condition in matlab ?

how to generate a random matrix except some row or column ? like this

A = [ 1 0 0 0 0 0
      1 1 0 1 1 1
      0 0 0 0 0 0
      1 0 0 0 0 0 
      1 0 0 0 0 0 ]

I want to generate a random matrix where the first column and second row will be appear in the random matrix like this

A* = [ 1 0 0 1 0 1
       1 1 0 1 1 1
       0 0 1 1 0 1
       1 0 1 0 0 0 
       1 1 0 1 1 0 ]

Answer 1

[Azzi Abdelmalek]

B=randi([0 1],size(A))
B(:,1)=A(:,1)
B(2,:)=A(2,:)

[Firas Al-Kharabsheh]

i want to do this by for loop because the matrix A will not be appear where the column or row may be different from the first column or the second row

[Azzi Abdelmalek]

Not clear

[Firas Al-Kharabsheh]

in matrix A the row and column must determine by for loop because i need the code determine which column or row must be determine

[Azzi Abdelmalek]

[n,m]=size(A)
B=randi([0 1],n,m)
for k=1:n
  if k==2
      B(k,:)=A(k,:)
  end
end
for k=1:m
  if k==1
      B(:,k)=A(:,k)
  end
end

Answer 2

[Image Analyst]

Try this (I hope it's not homework):

% Make A a random set of zeros and 1s.
A = randi([0, 1], 6, 6);
% Make column 3 all zeros.
A(:, 3) = 0;
% Make row 3 all zeros.
A(3, :) = 0

% Now find the all zero columns.
allZerosColumns = all(A == 0, 1)
% Remove those columns.
A(:, allZerosColumns) = []

% Now find the all zero rows.
allZerosRows = all(A == 0, 2)
% Remove those rows.
A(allZerosRows, :) = []