Let A be an n ( n matrix with eigenvalues 1 and 2, where 1 ( 2 Let S1 and S2 be the eigenspaces associated with 1, and 2, respectively Explain why the zero vector is the only vector that is in both S1 and S2

Question: Let A be an n ( n matrix with eigenvalues 1 and 2, where 1 ( 2. Let S1 and S2 be the eigenspaces associated

Let A be an n ( n matrix with eigenvalues λ1 and λ2, where λ1 ( λ2. Let S1 and S2 be the eigenspaces associated with λ1, and λ2, respectively. Explain why the zero vector is the only vector that is in both S1 and S2?

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