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Question

Physics Question on Mathematical Methods

Which of the following matrices is Hermitian as well as unitary?

A

(0−i i0)\begin{pmatrix} 0 & -i \\\ i & 0 \end{pmatrix}

B

(0i i0)\begin{pmatrix} 0 & i \\\ i & 0 \end{pmatrix}

C

(1−i i1)\begin{pmatrix} 1 & -i \\\ i & 1 \end{pmatrix}

D

(01+i 1−i0)\begin{pmatrix} 0 & 1+i \\\ 1-i & 0 \end{pmatrix}

Answer

(0−i i0)\begin{pmatrix} 0 & -i \\\ i & 0 \end{pmatrix}

Explanation

Solution

The correct option is (A): (0−i i0)\begin{pmatrix} 0 & -i \\\ i & 0 \end{pmatrix}