Compute the determinant of the matrix by cofactor expansion

Compute the determinant of the matrix by cofactor expansion.

Question 2 options:

1

-1

0

20

Solution

Your matrix

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

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

Swap the 3rd and the 4th rows inversing determinant sign

Multiply the main diagonal elements

-(2 x 4 x (-1/2) x 0) = 0

Determinant is 0