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Eigen vector

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eigen vector
An arbitrary vector X is an eigen vector of the vector of the matrix A=[1 0 0 a 0 0 0 0 b], if (a, b)= (a) (0, 0) (b) (1, 1) (c) (0, 1) (d) (1, 2)
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question on eigen vector
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?
how to find eigen vector of following equation2x-2y+z=02x-2y+z=02x-2y+z=0problem : there is matrix of 3*3 and then i calculate its eigenvalues which comes 2,2,3 and when ...
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