i have two determinants.let A=|1 2 3,4 5 6,7 8 9| and B=|1 2 3,4 5 6,10 11 12| .now i have to multiply these two determinants.i just want to know that is there any property or method or formula that if two determinants are multiplying and two rows or columns of these multiplying determinants are equal then how can we write another determinant without first multiplying each row of first deermiant with each column of second determinant.actually i am working on some generalization and i have A=|si1 si2 si3,si1d1,si2d1 si3d1,si1d2,si2d2 si3d2| and B=|si1 si2 si3,si1d1,si2d1 si3d1,si1d3,si2d3 si3d3| so its bit time consuming to first multiply these two determinants and than convert each again nto wronskian so i am asking for some property. where d1 is first derivative d2 is second derivative and so on....
