Which of the following represents the condition for a matrix A to be hermitian Matrix. Given that the general element of the matrix is aij.
aij=¯¯¯¯¯¯¯aji
Try to remember the definition of hermitian matrix. A square matrix is hermitian if it ia equal to its conjugate transpose.
We know that if we take an element aij from a square matrix. The corresponding element in its transpose will be aji. If we take both transpose and conjugate the corresponding element becomes ¯¯¯¯¯¯¯aji. So by definition we can say, ¯¯¯¯¯¯¯aji=aij.
Or,
aij=¯¯¯¯¯¯¯aji. Which is the required condition as per the definition