Sure! Here are the sentences with the relative pronouns that can be omitted crossed out:
The TV which I bought last week broke down 10 minutes ago.
I am reading the book that my sister gave me.
The man whose bag was stolen in the shopping centre yesterday came to the police.
Jeff knows someone who can help you.
The boy whom I am talking to is my cousin.
In this exercise, "which," "that," "who," and "whom" can be omitted as they are not necessary for the understanding of the main sentence. However, "whose" cannot be omitted as it indicates possession.
