Use two different ways to find the determinant of the follow

Use two different ways to find the determinant of the following matrix -3 5 1 0 -1 1 4 2 3

Solution

one way

Your matrix

Eliminate elements in the 1st column under the 1st element

Eliminate elements in the 2nd column under the 2nd element

Multiply the main diagonal elements

-3 x (-1) x 13 = 39

solution

Determinant is 39

second way

det = -3*(-3-2) - 5*(-4)+ 4 = 39 (answer)

Sign		A1	A2	A3
+	1	-3	5	1
2	0	-1	1
3	4	2	3