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QUESTION

Let A be a m x m matrix with eigenvalues \lambda_1,\lambda_2,.,\lambda_m .

Let A be a m x m matrix with eigenvalues ​​​ . Show that

[tr(A)]​  = tr(A​) + 2​​​

please provide detailed explanation how

[tr(A)]​ = ​​​​​ ??? then becomes the final answer?

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