No, mortgage payments are not deductible. Mortgage interest is deductible if you own the home and are itemizing your deductions when it is not a rental property.
If this is a rental property, rental expenses, which would include mortgage interest, would be deductible only up to the amount of rent that is received when the property is rented for less than fair market value. Since your relative is not paying rent, you have no rental income, therefore, you would not be able to claim any rental expenses.
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