The matrix  is

Concept:

1. Symmetric Matrix: Square matrix A is said to be symmetric if the transpose of matrix A is equal to matrix A itself ⇔ A^T = A or A’ = A

2. Skew-Symmetric Matrix or Anti-symmetric: Square matrix A is said to be skew-symmetric if transpose of matrix A is equal to negative of matrix A ⇔ A^T = −A

3. Hermitian Matrix:  A Hermitian matrix is a complex square matrix that is equal to its own conjugate transpose ⇔ 

4. Skew-Hermitian: 

5. Let z = x + iy be a complex number.

• Conjugate of z =  = x – iy

Calculation:

Let A = 

Now, transpose of matrix A

 A^T = 

⇒ A^T ≠ A

∴ given matrix is not symmetric

A^T = 

∴ given matrix is not skew-symmetric.

Now, Conjugate of matrix A

∴ given matrix is skew-hermitian matrix.