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[20 points] Prove the following statements for a 2 x 2 matrix A. (a) If A is symmetric, then its eigenvalues are purely real....

Question

[20 points] Prove the following statements for a 2 x 2 matrix A. (a) If A is symmetric, then its eigenvalues are purely real.

[20 points] Prove the following statements for a 2 x 2 matrix A. (a) If A is symmetric, then its eigenvalues are purely real.

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