Question

Determinant of skew symmetric matrix is always 0.

• A. True
• B. False

Answer 1

The correct option is A

True

For example, Let’s take a general skew symmetric matrix.

$\left|\begin{array}{ccc}0& b& c\\ -b& 0& e\\ -c& -e& 0\end{array}\right|=0(0+e^2)-b(0(-b)-(-ec))+c(be-0)=0-bec+cbe-0=0\text{Therefore Determinant is always 0}$