Word Count : 202

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We are asked to find values of (a \in \mathbb{C}) for which the matrix [ A = \begin{bmatrix} 1 & 0 & 0 \ 0 & -\frac{1}{\sqrt{2}} & \frac{1}{\sqrt{2}} \ 0 & \frac{1}{\sqrt{2}} _____ ________ ______ _________ __________ _______ ___ _________ __________ ___ _____ __________.
_____ __________ __________ ____ _______ _________ ___ _______ _____.
___ ___ _____ _____ ______ _______.
______ ______ ____ ______ __________ ____ _________ ________.
______ ________ ____ _______ __________ ___ _____ _________ ____.
___ ________ ___ __________ _______ ________ ____ _____ _______ _________.
___ _________ ____ _____ ___ _________ _______.
_________ ____ ________ ____ _________ ________ ______ __________ _____ _________ _____.
________ _______ _____ ___ _______ ____ __________.
_____ __________ _____ __________ ___ _____ _____.
___ _____ _______ _________ ___ ________ _________ __________ _________ ____ ____.
_________ _______ _________ ________ _____ _____ _____ _________ _____ ________ ___ ________.
______ __________ _______ _______ ______ ______ _________ ________ _________ ____ ________ ________.
____ ___ _____ ____ ____ _____ ______ ____ ________ ____ _____ _______.
____ _____ ______ _____ ___ ___ __________ ___ _______ _________ ___ __________.
___ ___ ______ __________ ___ __________ ________ ___ ____.
_________ _________ ________ ______ _____.
__________ _________ _______ _______ _______ ________.
_________ ___ ________ _______.
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