\left[ \begin{array}{rr}
i & i \\
0 & 1
\end{array} \right] \cdot \left[ \begin{array}{rr}
a & b \\
c & d
\end{array} \right] = \left[ \begin{array}{rr}
a & b \\
c & d
\end{array} \right] \cdot \left[ \begin{array}{rr}
i & i \\
0 & 1
\end{array} \right] 

\left[ \begin{array}{rr}
ai+ci & bi+di \\
c & d
\end{array} \right] = \left[ \begin{array}{rr}
ai & ai + b \\
ci & ci+ d
\end{array} \right]

$ai+ci=ai$

$bi+di=ai+b$

$c=ci$

$d=ci+d$

\Longrightarrow 

$c=0$

$b(i-1)=(a-d)i$

\Longrightarrow 

$b=(1-i)/2\cdot (a-d)$

\Longrightarrow

$T=\left[ \begin{array}{rr}
a & (1-i)/2\cdot (a-d) \\
0 & d
\end{array} \right]$

\Longrightarrow baza:\{\left[ \begin{array}{rr}
1 & (1-i)/2\cdot 1 \\
0 & 0
\end{array} \right], \left[ \begin{array}{rr}
0 & (i-1)/2\cdot 1 \\
0 & 1
\end{array} \right] \}