FANDOM


The trace of an n b n matrix is the sum of the components along the main diagonal (that is, the diagonal that runs from the top left to the bottom). Written mathematically, the trace is

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

For example:

\mathrm{tr} \begin{bmatrix} 1 & 3 & 4 & 0 \\ 6 & 2 & 2 & 3 \\ 9 & 4 & 5 & 2 \\ 4 & 2 & 5 & 8 \end{bmatrix} = \sum_{i=1}^{4} a_{ii}  = 1 + 2 + 5 + 8 = 16

If the trace is equal to zero, the matrix is said to be traceless.

Ad blocker interference detected!


Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.