Suppose and are two distinct eigenvalues of a real symmetric matrix. Then what are their corresponding eigenvectors?

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Suppose<br><img src='https://www.fatskills.com/images2/GradExams/1E52A726-7101-44DD-9603-57208136F81C.png' height='17' width='16'/> and<br><img src='https://www.fatskills.com/images2/GradExams/0DB6D38B-685C-460D-8ABF-9968565B621C.png' height='17' width='17'/> are two distinct eigenvalues of a real symmetric matrix<br><img src='https://www.fatskills.com/images2/GradExams/410E39D5-BF81-4C79-9D35-17456837F093.png' height='15' width='14'/>. Then what are their corresponding eigenvectors?