Determinants

Properties of Determinants

Let A be nxn.

1. If B is obtained from A by interchanging 2 rows of A, the det(B) = -det(A)
2. If B is obtained from A by multiplying a row of A by k (k!=0), then det(B) = k * det (A)
3. If B is obtained from A by doing a row replacement, then det(B) = det(A)

How to solve a Determinant