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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________ ____ ______ ______ ______ _________ ____ _____ ____.
_______ ________ ___ _______ ______ ___.
_____ ____ ________ __________ ________ ___ _______ __________ ____ ______.
____ ___ ___ _____ ________.
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________ __________ ____ _________ ___ _______.
___ ______ ______ __________ ______ ___ ______ ____ ______ ________ _______ _________.
_________ ______ _____ _________ ________.
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___ __________ _______ __________ _________.
___ ___ _________ __________ ________ _____ __________ ____.
__________ _________ _____ __________ _____ _____ _____ ________ _____ ________ __________ _________.
____ ___ _____ ______ _________ _________ ____.
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______ ___ ______ ____ ________ ___ ________ ____.
__________ _________ ___ _________.
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