设

$$
\begin{aligned}
& \boldsymbol{A}_1=\left[\begin{array}{lll}
1 & 1 & 0 \\
0 & 2 & 1 \\
0 & 0 & 3
\end{array}\right], \boldsymbol{B}_1=\left[\begin{array}{lll}
1 & & \\
& 2 & \\
& & 3
\end{array}\right] ; \\
& \boldsymbol{A}_2=\left[\begin{array}{lll}
3 & 1 & 0 \\
0 & 3 & 1 \\
0 & 0 & 3
\end{array}\right], \boldsymbol{B}_2=\left[\begin{array}{lll}
3 & & \\
& 3 & \\
& & 3
\end{array}\right] ; \\
& \boldsymbol{A}_3=\left[\begin{array}{lll}
5 & 0 & 0 \\
0 & 1 & 2 \\
0 & 2 & 4
\end{array}\right], \boldsymbol{B}_3=\left[\begin{array}{lll}
0 & & \\
& 5 & \\
& & 5
\end{array}\right] .
\end{aligned}
$$


则 $\boldsymbol{A}_i$ 与 $\boldsymbol{B}_i(i=1,2,3)$ 相似，关系成立的个数是（ ）．