row display in matrix question based on responses to previous questions

Is there a way to have rows in a matrix table appear based on responses to previous questions? In my survey I ask people how many people they have. Like this:
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Then I want to ask about the ages of the children in a table like this:
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But I want the number of rows in the table to correspond to the number of children the respondent said they had. So for example, if they said they had two children there would only be rows for child 1 and child 2. Is there a way to do this? I would be interested in a similar solution for check all that apply questions, where the options displayed can be displayed based on responses to other questions.

Thanks.