NDA2015MathematicsMatricesActual
The matrix [ array cc 0 & -4+i 4+i & 0 array ] is
Options
- Asymmetric
- Bskew-symmetric
- CHermitian
- Dskew-Hermitian
Correct answer
D. skew-Hermitian
Step-by-step solution
The given matrix A= [ array cc 0 & -4+ i 4+ i & 0 array ] Now, from options: From option (A): For Symmetric matrix A ^ T = A Now, A^ T = [ array cc 0 & 4+ i -4+ i & 0 array ] A The given matrix is not symmetric option (A) is wrong. From option (B): For Skew-symmetric matrix aligned & A ^ T =- A & = [ array cc 0 & 4+ i -4+ i & 0 array ] - A aligned Given matrix is not skew-symmetric option (B) is wrong. From option (C): For Hermitian matrix A^T= A , where A is conjugate of matrix A A = [ array cc 0 & -4-i 4- i & 0 a