Question

If $A=\left[\begin{array}{ccc}a& 2& 3\\ b& c& 4\\ d& e& f\end{array}\right]$ is skew symmetric matrix, then find $a,b,c,d,e,f$.

Answer 1

A is a skew symmetric matrix.

Therefore,

$A=\left[\begin{array}{ccc}a& 2& 3\\ b& c& 4\\ d& e& f\end{array}\right]$ = $\left[\begin{array}{ccc}-a& -b& -d\\ -2& -c& -e\\ -3& -4& -f\end{array}\right]$

Now, since diagonal elements are zero.

Therefore,

$a=0,c=0,f=0,b=-2,e=-4,d=-3$