If the matrix is a skew symmetric matrix, find the values of a, b and c.

Question

If the matrix  is a skew symmetric matrix, find the values of a, b and c.

Philoid · Accepted Answer

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

Let, A =

As, A is skew symmetric matrix.

∴ 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 …ans