Trace (mathematics)/Definition: Difference between revisions

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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 Σ_k ⟨v_k|T|v_k⟩ where {v_k} is an orthonormal basis.

Revision as of 04:22, 17 January 2009 (view source) imported>Paul Wormer (New page: <noinclude>{{Subpages}}</noinclude> sum of diagonal elements of matrix; for linear operator ditto but independent of basis.)		Latest revision as of 05:17, 15 June 2009 (view source) imported>Jitse Niesen (rewrite (previous definition implies that trace of a matrix depends on basis while trace of a linear operator does not))
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	~~sum~~ of diagonal elements of matrix; for linear operator ~~ditto but independent of~~ basis.		Sum of diagonal elements of matrix; for linear operator ''T'', the trace is ''Σ<sub>k</sub>'' &lang;''v<sub>k</sub>''\|''T''\|''v<sub>k</sub>''&rang; where {''v<sub>k</sub>''} is an orthonormal basis.