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If we solve this we will get total 4 eigen vectors,but as we know that this is of 2 degree matrix so only 2 will exist.So can i say that from these four pairs by using nay 2 ,i can derive the other?If yes,then how?

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The answer is A

,Since the eigen value is j, and -j finding the corresponding eigen vector, which gives  {1 -i} and {i,-1} respectively

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