Let x1, . . . , xr be eigenvectors of an n n matrix A and let S be the subspace of Rn
Chapter 6, Problem 24(choose chapter or problem)
Let x1, . . . , xr be eigenvectors of an n n matrix A and let S be the subspace of Rn spanned by x1, x2, . . . , xr . Show that S is invariant under A (i.e., show that Ax S whenever x S). 2
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