Suppose a has reduced row echelon form equal to the n×n identity matrix and in order to reduce it to this rref you have to use r row swaps (the pij operations), and m operations of multiplying a row by a nonzero scalar where the scalars involved during the process were α1, α2, . . , αm. in addition you also use an unspecified number of operations of the type aij (c) of adding a multiple of one row to a distinct row during the reduction process. describe a formula for d = det(a) in terms of the variables n, r, m, α1, . . , αm and explain how you got your answer