I have a too large matrix $A$ and I know its determinant denoted by $\det(A)$. Suppose that I update only two rows in $A$ and I need the new determinant. Is it a way to find simply this new derterminant using the old, the new rows and the old determinant?
As the matrix is too large, it will be computationnally intensive if I should compute the new determinant using det() function in a software. In addition, I will do this task many times. SO it will be greatfull a have a way to compute the new determinant more simply.
An idea?