If the matrix [(0,a,3),(2,b,-1),(c,1,0)] is a skew symmetric matrix, find the values of a, b and c.

Question

If the matrix \(\begin{bmatrix} 0 & a & 3 \\[0.3em] 2 & b & -1 \\[0.3em] c & 1 & 0\end{bmatrix}\) is a skew symmetric matrix, find the values of a, b and c.

Answer 1

A matrix is said to be skew-symmetric if A = -A’

Equating the respective elements of both matrices we get-

a = -2 ; c = -3 ; b = -b ⇒ 2b = 0 ⇒ b = 0

Thus, we have-

a = -2 , b = 0 and c = -3