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Difference between revisions of "Trace (mathematics)/Definition"

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(New page: <noinclude>{{Subpages}}</noinclude> sum of diagonal elements of matrix; for linear operator ditto but independent of basis.)
 
(rewrite (previous definition implies that trace of a matrix depends on basis while trace of a linear operator does not))
 
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<noinclude>{{Subpages}}</noinclude>
 
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sum of diagonal elements of matrix; for linear operator ditto but independent of basis.
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Sum of diagonal elements of matrix; for linear operator ''T'', the trace is ''&Sigma;<sub>k</sub>'' &lang;''v<sub>k</sub>''|''T''|''v<sub>k</sub>''&rang; where {''v<sub>k</sub>''} is an orthonormal basis.

Latest revision as of 11:17, 15 June 2009

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A definition or brief description of Trace (mathematics).

Sum of diagonal elements of matrix; for linear operator T, the trace is Σkvk|T|vk〉 where {vk} is an orthonormal basis.