Matrix which is 1 when row and column are both odd or both even - matlab

Question

I want to create a matrix which which has:
The value 1 if the row is odd and the column is odd
The value 1 if the row is even and the column is even
The value 0 Otherwise.
I want to get the same results as the code below, but in a one line (command window) expression:
N=8;
A = zeros(N);
for row = 1:1:length(A)
for column = 1:1:length(A)
if(mod(row,2) == 1 && mod(column,2) == 1)
A(row,column*(mod(column,2) == 1)) = 1;
elseif(mod(row,2)== 0 && mod(column,2) == 0 )
A(row,column*(mod(column,2) == 0)) = 1;
end
end
end
disp(A)
This is the expected result:
1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1

Answer 1

A simple approach is to use implicit expansion of addition, noting that
odd+odd = even+even = 0
So this is your answer:
A = 1 - mod( (1:N) + (1:N).', 2 );
You could also do this with toeplitz, as shown in this MATLAB Answers Post
For a square matrix with number of rows = number of columns = N
A = toeplitz(mod(1:N,2));
If the number of rows (M) is not equal to the number of columns (N) then
A = toeplitz(mod(1:M,2),mod(1:N,2))
FWIW, you're asking a specific case of this question:
How to generate a customized checker board matrix as fast as possible?

Answer 2

Can you take three lines?
N=8;
A = zeros(N);
A(1:2:end, 1:2:end) = 1;
A(2:2:end, 2:2:end) = 1;
One line solution (when N is even):
A = repmat([1, 0; 0 1], [N/2, N/2]);

Answer 3

You can try the function meshgrid to generate mesh grids and use mod to determine even or odd
[x,y] = meshgrid(1:N,1:N);
A = mod(x+y+1,2);
such that
>> A
A =
1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1
1 0 1 0 1 0 1 0
0 1 0 1 0 1 0 1