Let x1 .... xr be eigenvectors of an n x n matrix A and let S be

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Let x1 .... xr be eigenvectors of an n x n matrix A and let S be the ssubspace of R spanned by x1. x2 ....xf Show that S is invariant under A (i.e.. show that Ax ∈ S whenever x ∈ 5).
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