Trace (mathematics)/Definition: Difference between revisions
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imported>Paul Wormer (New page: <noinclude>{{Subpages}}</noinclude> sum of diagonal elements of matrix; for linear operator ditto but independent of basis.) |
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 ''T'', the trace is ''Σ<sub>k</sub>'' ⟨''v<sub>k</sub>''|''T''|''v<sub>k</sub>''⟩ where {''v<sub>k</sub>''} is an orthonormal basis. | |||
Latest revision as of 05:17, 15 June 2009
Sum of diagonal elements of matrix; for linear operator T, the trace is Σk ⟨vk|T|vk⟩ where {vk} is an orthonormal basis.