We start with a matrix M and perform the following row opera

We start with a matrix M and perform the following row operations on it 1/2 R_1 rightarrow R_1 -4R_1 + R_2 rightarrow R_2 2R_1 + R_3 rightarrow R_3 R_2 R_3 We end with a matrix N and det (N) = 16. Find the det (M)

Solution

det(M) = 16

BECAUSE if we use any row operation any column operation there is no change in determinent.