you would  need to look at the amount of nursing home expenses as they cannot exceed $10,000 if the DTC is also claimed. He can claim a medical expense for the deceased after death. There is nothing stating that it must all be in the same tax year. I have copied the statement below from CRA

 medical expenses paid on behalf of the deceased can be for any 24-month period that includes the date of death, as long as no one has claimed them on any other return or for any other year.