The trace of an nn matrix C, denoted tr(C), is the sum of its diagonal entries; that is

Chapter 5, Problem 32

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The trace of an nn matrix C, denoted tr(C), is the sum of its diagonal entries; that is, tr(C) = c11 + c22 ++ cnn If A and B are m n matrices, show that (a) A2 F = tr(AT A) (b) A + B2 F = A2 F + 2 tr(ATB) + B2 F. 33. Con

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