If v1, v2, and v3 are linearly independent eigenvectors of A corresponding to the
Chapter 7, Problem 38(choose chapter or problem)
If v1, v2, and v3 are linearly independent eigenvectors of A corresponding to the eigenvalue , and c1, c2, and c3 are scalars (not all zero), show that c1v1 + c2v2 + c3v3 is also an eigenvector of A corresponding to the eigenvalue .
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