proof by induction. (affect of row operations on the determinant)
Let A be an n x n matrix, let R be the row operation <--- c
and let B = R(A).
a) state the inductive hypothesis for inductive step
b) complete the inductive step for the case in which R is not performed on the last row of A
C) complete the inductive step for the case in which R is performed on last row of A.