1. Techniques of ROW REDUCTION can simplify the process of evaluating the determinant of a matrix

3. Replace row 2 with row 2 + k(row 1)

6. When you replace a row of a matrix with itself plus a multiple of another row, the determinant does not change.

8. Replace row 2 with row 2 – row 1

11. Interchange row 1 and row 2

13. Replace row 2 with row 2 + k(row 1)

14. When you interchange 2 rows of a matrix, the determinant changes by a factor of –1. This would not simplify the process of evaluating a determinant.

16. Replace row 1 with k(row 1)

19. When you replace a row of a matrix with k times itself, the determinant changes by a factor of k. This would not simplify the process of evaluating a determinant. Replace row 1 with k(row 1)

20. example: