Part of conducting a factor analysis is to determine how many factors should be used.Given the above matrix, how many factors should be used and why?

2) Factor Analysis TABLE S.16 Correlation Matrix for Detergent Data V1 ZA V3 V4 V5 V6 V7 V8 V9 V10 V11 V12 1:00000 0.41901 0.51840 0.56641 0.18122 0,17454 0.23034 0.30647 0.24051 0.21192 0.27443 0.20694 041901 1:00000 057599 0.49586 0.186G6 0.24648 0.22907 0.22526 0.21967 0.25879 0.32132 0.25853 5953 0 51840 0.57599 1.00000 0.64325 0.29080 0.34428 0.41083 0.34028 0.32854 0.38828 0.39433 0.36712 0.56641 049886 0.64325 1.00000 0.38360 0.39637 0.37699 0.40391 0.42337 0.36564 0.33691 0.36734 VS 0.18122 0.18666 0.29080 0.38360 1:00000 0.57915 0.59400 0.67623 0.69269 0.43873 055485 0.65261 0.17454 0.24648 0.34428 0.39637 0.57915 1.00000 0.57756 0.70103 0.62280 0.62174 0.59855 0.57845 0.23034 0.22907 0.41083 0.37699 0.59400 0.57756 1.00000 0.67682 0.68445 0.54175 0.78361 0.63889 V8 0 30647 022526 0.34028 0.40391 0.67623 0.70103 0.67682 1.00000 0.69813 0.68589 0.71115 0.71891 V9 0.24051 0.21967 0.32854 0.42337 0.69269 0.62280 0.68445 0.69813 1.00000 0.58579 0.64637 0.69111 V10 0.21192 025879 0.38828 0.36564 0.43873 0.62174 0.54175 0.68589 0.58579 1.00000 0.62250 0.63494 V11 0.27443 0.32132 0.39433 0.33691 055485 0.59855 0.78361 0.71115 0.64637 0.62250 1.00000 0.63973 V12 0.20694 0.25853 0.36712 036734 0.65261 0.57845 0.63889 0.71891 0.69111 0.63494 0.63973 100000 Date from Subhash Sharma, Applied Mutivariate Techniques (New York Wiley, 1996). Part of conducting a factor analysis is to determine how many factors should be used. Given the above matrix, how many factors should be used and why