Ononot — Let A be an n \times n real symmetric matrix with eigenvalue

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Eigenvalues & Eigenvectorshard

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Let $A$ be an $n \times n$ real symmetric matrix with eigenvalues $\lambda_1 \ge \lambda_2 \ge \dots \ge \lambda_n$ . According to the Courant-Fischer theorem, how can the second largest eigenvalue $\lambda_2$ be characterized?