BT = -B
BT = B
B-1 = B
B-1 = BT
Answer is Right!
Answer is Wrong!
The correct answer is A. $BT = -B$.
A skew-symmetric matrix is a square matrix $B$ such that $BT = -B$. In other words, the transpose of a skew-symmetric matrix is its negative.
Option B is not correct because the transpose of a symmetric matrix is itself.
Option C is not correct because the inverse of a skew-symmetric matrix is not necessarily skew-symmetric.
Option D is not correct because the transpose of the inverse of a matrix is the inverse of the transpose of the matrix.