[^0T_1 = begin{pmatrix} 1 & & & q_1 \ & 1 & & \ & & 1 & \ & & & 1 \ end{pmatrix} q_1: ss_fff \]
[^0T_2 = begin{pmatrix} 333 & & & q_3 \ & 333333 & & \ & & 3333 & \ & & & 1 \ end{pmatrix} q_2: tt_bbb \]

documentclass{report}
usepackage{amsmath}

begin{document}
begin{align}
^0T_1 &= begin{pmatrix} 1 & & & q_1 \ & 1 & & \ & & 1 & \ & & & 1 \ end{pmatrix} & q_1&colon mathrm{ss_fff} \
^0T_2 &= begin{pmatrix} 333 & & & q_3 \ & 333333 & & \ & & 3333 & \ & & & 1 \ end{pmatrix} &q_2&colon mathrm{tt_bbb}
end{align}
end{document}