How to plot matrix of ones and zeros as a chessboard?

I have a 3500 X 2500 matrix of zeros and ones. I want to plot it on a figure for which xlims=(1,12) and ylims=(0.5,14). I want to create a grid of 3500 X 2500 on this figure and color the grid boxes by black which corresponds to 1 values of the matrix and by empty which corresponds to 0 values of the matrix.

Answer 1

[A. Sawas]

use the function pcolor