\( { }^{7)} \) The matrix \( A=\frac{1}{2}\left[\begin{array}{cc}k+i & \sqrt{2} \\ k-i & \sqrt{2} i\end{array}\right] \) is unitary if k is \( \frac{1}{2} \) 1 \( -\frac{1}{2} \) \( -1 \) \( \pm 1 \) \( \pm \frac{1}{2} \)
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Step 1: Recall that a matrix \( A \) is unitary if \( A^* A = I \), where \( A^* \) is the conjugate transpose of \( A \) and \( I \) is the identity matrix. Show more…
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