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Pls teach me step by step. thanks

5. Given a square matrix A and two eigenpairs (λ, x.), i = 1, 2, with λǐメλ2, prove that
the eigenvectors {x1,T2} form a linearly independent set. Hint: let
1, 2 and apply A to both sides of (1),
for two scalars ci, C2, note that Ax,-Azi,
and prove that C1 C2 。
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5. Given a square matrix A and two eigenpairs (λ, x.), i = 1, 2, with λǐメλ2, prove that the eigenvectors {x1,T2} form a linearly independent set. Hint: let 1, 2 and apply A to both sides of (1), for two scalars ci, C2, note that Ax,-Azi, and prove that C1 C2 。

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