If the position of 0 1 in confusion matrix changes does the formula for sensitivity changes

It may sound very silly question, but I want to clear myself

In confusion matrix we normally take values like below:

           PredictedValue
Actualvalue TRUE  FALSE
1 18786 10177
0  3135  5709


and calculate sensitivity = tp/(tp+fn) = table[0,0]/(table[0,0] + table[1,0])

If my confusion matrix will change to below (position of 0,1 and true false changed)

            PredictedValue
Actualvalue FALSE  TRUE
0 5709   3135
1  10177  18786


Can I still use the same formula (table[0,0]/(table[0,0] + table[1,0])) for sensitivity?

               ActualValue