Find the determinant of the following matrices Show your wor

Find the determinant of the following matrices. Show your work, only showing the final answer will NOT get credit. D = [2 4 5 -2 -4 -5 -8 1 2 -5 1 8 -6 0 -3 1]

Solution

Your matrix

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

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

Eliminate elements in the 3rd column under the 3rd element

Multiply the main diagonal elements

2 x 3 x 2 x 5 = 60

Determinant is 60

Sign		A1	A2	A3	A4
+	1	2	4	5	-2
2	-4	-5	-8	1
3	2	-5	1	8
4	-6	0	-3	1