Hermitian Matrix

Q.

Which among the following is/are hermitian matrix

1. 

2. 

3. 

4. 

Q.

A Hermitian matrix is a square matrix with complex entries that is equal to its own conjugate.

1. True

2. False

Q.

A matrix with diagonal elements as complex numbers with imaginary part not 0 can never be Hermitian matrix

1. True

2. False

Q.

A Matrix of any order can be a hermitian matrix

1. True

2. False

Q.

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.

1. aij =

2. = -aij

3. aij =

4. aij =

Q.

The following matrix is HERMATIAN Matrix $\left[\begin{array}{ccc}1& -i& 5\\ i& 5& 0\\ 5& 0& 3\end{array}\right]$

1. True

2. False