For what value of x, is the matrix a skew symmetric matrix?

Key point: A matrix ‘B’ is said to be skew symmetric if transpose of matrix B is equal to negative of B i.e. B^T = -B

Given that A is skew symmetric.

∴ A^T = -A

Transpose is obtained by interchanging the rows and columns.

⇒

By equality of matrix and comparing both sides we can say that:

x = 2.

∴ For x = 2, A is skew symmetric matrix.