Find the determinants of 0 5 1 2 0 0 4 3 0 0 1 5 4 3 0 2 0 0

Find the determinants of [0 5 1 2 0 0 4 3 0 0 1 5 4 3 0 2 0 0 0 2 1 7 6 4]

Solution

Your matrix

Swap the 1st and the 2nd rows inversing determinant sign

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

Swap the 2nd and the 3rd rows inversing determinant sign

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

5 x 11/5 x 1 x (-12/11) x (-2) = 24

solution

Determinant is 24

Sign		A1	A2	A3	A4	A5
+	1	0	0	1	0	2
2	5	4	3	2	1
3	1	3	5	0	7
4	2	0	4	0	6
5	0	0	3	0	4