drawing two matrix side by side

My suggestion for your drawing is put below:

documentclass[12pt]{article}
usepackage{amsmath}
usepackage{amssymb}

begin{document}
[y_D=begin{bmatrix} 
frac{mathsf{diag}(gamma_{1}s_{1},ldots,gamma_{n}s_{n})}{tau}\
{mathbf{0}}_{Ntimes(P-1)times N}\
ldots ldots \
{mathbf{0}}_{EXtimes N}
end{bmatrix}, quad x_D=begin{bmatrix} 
frac{J_{P},otimes,mathsf{diag}(s_{1},ldots,s_{n})}{tau},{mathbf{0}}_{NPtimes EX}\
{mathbf{0}}_{Ntimes(NP)+ EX}\
ldots ldots \
{mathbf{0}}_{EXtimes NP} qquad I_{EX}times 1/c
end{bmatrix}]
end{document}