Question: Let A be an n x n matrix and let A he a nonzero elgenvalue of A. Show that if x is an eigene.1or belonging

Let A be an n x n matrix and let A he a nonzero elgenvalue of A. Show that if x is an eigene.1or belonging to A, then x is in the column space of A. Hence the eigenspace corresxponding to λ is a subspace of the column space of A.

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