The trace of a square matrix A, denoted tr(A), is the sum of the elements on the main diagonal of A. Note that the main diagonal of A consists of the elements with the same subscripts that is, all aij for which i = j. Show that, if A and B are n x n matrices: a) tr(A¹)= tr(A) b) tr(A + B) = tr(A) + tr(B)

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