Proving v1+v2 is not an eigenvector of A
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Let $lambda_1$ and $lambda_2$ be two distinct eigenvalues of an $n times n$ matrix $A$ , $v_1$ and $v_2$ are the corresponding eigenvectors. Prove that $v_1 + v_2$ is not an eigenvector of $A$ . Is this how you set this up? Unsure where to begin. $A(v_1+v_2) = Av_1 + Av_2$ $A(v_1+v_2) = lambda_1v_1 + lambda_2v_2$ ...
linear-algebra matrices
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edited Nov 27 at 23:34
platty
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asked Nov 27 at 23:15
jake
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