Give examples for how Mrs. Hayashi and Rosie live in a patriarchal household.

“Seventeen Syllables" is a short story written by Hisaye Yamamoto, whose parents immigrated to the United States from Japan. In the story, Rosie Hayashi is also the daughter of Japanese immigrants.
Rosie, her mother Tome, and her father live in a farming community. One way in which we see Rosie and Mrs. Hayashi living in a patriarchal household is that Mrs. Hayashi must do whatever Mr. Hayashi wants, no questions asked. When visiting the Hayanos, Rosie and Mrs. Hayashi have a good time talking with the family, but they must leave immediately when Mr. Hayashi abruptly decides he's had enough. Mr. Hayashi does not seem to want to let his wife enjoy anything, and cruelly destroys the poetry prize she wins. 
What puts Mrs. Hayashi most of all under control of a patriarchal household is the fact that she was forced by societal pressures to marry Mr. Hayashi. After she lost the child that she had with a man who could not marry her, she came to the United States for an arranged marriage with Mr. Hayashi. She is so unhappy living her life controlled by her husband that she begs Rosie never to get married.