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question on eigen vector

in Mathematical Logic
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how to find eigen vector of following equation

2x-2y+z=0

2x-2y+z=0

2x-2y+z=0

problem : there is matrix of 3*3 and then i calculate its eigenvalues which comes 2,2,3 and when i put 2 then i get above equation so what are eigen vector here?
in Mathematical Logic
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3 Comments

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The above system has infinite number of solutions which means there are infinite corresponding eigen vectors.
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not agree with ur answer . They give answer but not solution .And the answer are specific .
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Just paste the vectors here. I will check
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