如何使用pandas将一个数据帧的一个元素与其他数据帧的所有元素进行比较？

import pandas as pd

df1 = pd.DataFrame({'A': [1, 2, 3], 'B': [4, 5, 6]})

df2 = pd.DataFrame({'A': [7, 8, 9], 'B': [10, 11, 12]})
for index, row in df2.iterrows():
    for column in df2.columns:
        if df1.loc[index, column] > row[column]:
            print(f"df1[{index}, {column}] > df2[{index}, {column}]")
        elif df1.loc[index, column] < row[column]:
            print(f"df1[{index}, {column}] < df2[{index}, {column}]")
        else:
            print(f"df1[{index}, {column}] = df2[{index}, {column}]")