If AAA is a skew-symmetric 4×44 \times 44×4 matrix, which of the following is true regarding det(A)\det(A)det(A)?
det(A)\det(A)det(A) must be 000
det(A)\det(A)det(A) must be a perfect square
det(A)\det(A)det(A) can be any real number
det(A)\det(A)det(A) must be negative