Writing Some Special Matrices in LaTeX

Question

I've to write the following matrices in LaTex.

Any help in this regard will be highly appreciated.

Answer 1

Sometnig like

\begin{equation}
 \bordermatrix{&c_1&c_2&c_3\cr
            r_1&t_{11}&t_{12}&t_{13}\cr
            r_2&t_{21}&t_{22}&t_{23}\cr
            r_3&t_{31}&t_{32}&t_{33}\cr}
\end{equation}

?

This will give you c's and r's outside the t_nn matrix.