Prove that the eigenvectors of the transformation t

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Let a be an element of complex numbers and distinct from 0. Prove that the eigenvectors of the transformation T : Complex numbers^2 -> complex numbers^2 given by T ( z , w ) = ( z + aw , w) span on 1-dimensional subspace of complex numbers^2 and give a basis for this subspace.

Reference no: EM131024944

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