題組內容
4. (10 points) Let $\lambda_1, \lambda_2, \dots, \lambda_n$ be a complete set of eigenvalues of the matrix $A \in \Re^{n \times n}$. Prove that
b. \( tr(A) = \lambda_1 + \lambda_2 + \dots +\lambda_n \)
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4. (10 points) Let $\lambda_1, \lambda_2, \dots, \lambda_n$ be a complete set of eigenvalues of the matrix $A \in \Re^{n \times n}$. Prove that
b. \( tr(A) = \lambda_1 + \lambda_2 + \dots +\lambda_n \)