from datetime import datetime
df['Date'] = datetime.strptime('{}-{}-1'.format(df['Year'], df['Week #']), '%Y-%W-%w').strftime('%Y-%m-%dT%H:%M:%S.%f')[:-3] + 'Z'

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
Cell In[57], line 3
      1 from datetime import datetime
----> 3 df['Date'] = datetime.strptime('{}-{}-1'.format(df['Year'], df['Week #']), '%Y-%W-%w').strftime('%Y-%m-%dT%H:%M:%S.%f')[:-3] + 'Z'
      4 df
File /opt/anaconda3/lib/python3.9/_strptime.py:568, in _strptime_datetime(cls, data_string, format)
    565 def _strptime_datetime(cls, data_string, format="%a %b %d %H:%M:%S %Y"):
    566     """Return a class cls instance based on the input string and the
    567     format string."""
--> 568     tt, fraction, gmtoff_fraction = _strptime(data_string, format)
    569     tzname, gmtoff = tt[-2:]
    570     args = tt[:6] + (fraction,)
File /opt/anaconda3/lib/python3.9/_strptime.py:349, in _strptime(data_string, format)
    347 found = format_regex.match(data_string)
    348 if not found:
--> 349     raise ValueError("time data %r does not match format %r" %
    350                      (data_string, format))
    351 if len(data_string) != found.end():
    352     raise ValueError("unconverted data remains: %s" %
    353                       data_string[found.end():])
ValueError: time data '0        2020\n1        2020\n2        2020\n3        2020\n4        
2020\n         ... \n35913    2024\n35914    2024\n35915    2024\n35916    
2024\n35917    2024\nName: Year, Length: 35918, dtype: int64-0        02\n1        
03\n2        04\n3        05\n4        06\n         ..\n35913    42\n35914    
43\n35915    44\n35916    45\n35917    46\nName: Week #, Length: 35918, dtype: 
object-1' does not match format '%Y-%W-%w'

from datetime import datetime
from isoweek import Week
df['Date'] = Week(df['Year'], df['Week #']).monday()

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
Cell In[51], line 4
      1 from datetime import datetime
      2 from isoweek import Week
----> 4 df['Date'] = Week(df['Year'], df['Week #']).monday()
File /opt/anaconda3/lib/python3.9/site-packages/isoweek.py:34, in Week.__new__(cls, year, week)
     27 def __new__(cls, year, week):
     28     """Initialize a Week tuple with the given year and week number.
     29 
     30     The week number does not have to be within range.  The numbers
     31     will be normalized if not.  The year must be within the range
     32     1 to 9999.
     33     """
---> 34     if week < 1 or week > 52:
     35         return cls(year, 1) + (week - 1)
     36     if year < 1 or year > 9999:
File /opt/anaconda3/lib/python3.9/site-packages/pandas/core/generic.py:1527, in NDFrame.__nonzero__(self)
   1525 @final
   1526 def __nonzero__(self) -> NoReturn:
-> 1527     raise ValueError(
   1528         f"The truth value of a {type(self).__name__} is ambiguous. "
   1529         "Use a.empty, a.bool(), a.item(), a.any() or a.all()."
   1530     )
ValueError: The truth value of a Series is ambiguous. Use a.empty, a.bool(), a.item(), a.any() or a.all().

data = {"year": [2022, 2023], "week": [1,2]}
df = pd.DataFrame(data)
print(df)
#    year  week
# 0  2022     1
# 1  2023     2
# Create 'year-w-1' formatted dates
df['date'] = df['year'].astype(str).str.cat(others=[df['week'].astype(str), np.array(['1']*len(df))], sep='-')
print(df)
#    year  week      date
# 0  2022     1  2022-1-1
# 1  2023     2  2023-2-1
# format is year-week-weekday (1 = Monday)
df['date'] = pd.to_datetime(df['date'], format="%Y-%W-%w")
print(df)
#    year  week       date
# 0  2022     1 2022-01-03
# 1  2023     2 2023-01-09

import pandas as pd
import datetime
# create a sample dataframe with week number and year columns
df = pd.DataFrame({"Year": [2016, 2016, 2016, 2017, 2017, 2017],"Week": [43, 44, 51, 2, 5, 12]})
# define a function that takes a week number and year and returns a date
def week_to_date(week, year):
  # get the first day of the week (Monday) for the given week and year
  date = datetime.date.fromisocalendar(year, week, 1)
  return date
# apply the function to the dataframe and create a new column with the date
df["Date"] = df.apply(lambda row: week_to_date(row["Week"], row["Year"]), axis=1)
# print the dataframe
print(df)

Year  Week        Date
0  2016    43  2016-10-24
1  2016    44  2016-10-31
2  2016    51  2016-12-19
3  2017     2  2017-01-09
4  2017     5  2017-01-30
5  2017    12  2017-03-20