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82. The trace of an a x a matrix A. written trace(). is defined to be the sum trace(A) = ant ant ...+ d,. Prove

82. The trace of an a x a matrix A. written trace(). is defined to be the sum trace(A) = ant ant ...+ d,. Prove that. for any a x n matrices A and B and scalar c. the following statements are true: (a) trace(A + B) = trace(A) + trace(B)

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