Trace

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Post Date November 3, 2009
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How to Find the Trace

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Description

A detailed tutorial on find the trace of a matrix. Step by step tutorial including several examples of how to find the trace for reference.

Overview

The trace of a square matrix is defined to be the sum of the elements on the main diagonal of the matrix. This can be mathematically expressed as:

\mathrm{tr}(A) = a_{11} + a_{22} + \dots + a_{nn}=\sum_{i=1}^{n} a_{i i} \,

Remember, the trace is only defined for square matrices – not any other kind of matrix.

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