Difference between revisions of "Trace"

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Revision as of 15:32, 28 February 2010

The trace of a square $n \times n$ matrix is the sum of the elements of the main diagonal of the matrix. It is a linear map, since it is not difficult to verify that $\text{tr}\,(cA + B) = c\text{tr}\,(A) + \text{tr}\,(B)$.