Logarithm of a matrix: Difference between revisions

Revision as of 21:43, 2 January 2022

Revision as of 14:54, 3 March 2022

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:<math>\operatorname{tr}{\log{(AB)}} = \operatorname{tr}{\log{(A)}} + \operatorname{tr}{\log{(B)}}, </math>

*If ''A'' and ''B'' are both [[positive-definite matrices]] and if ''A'' and ''B'' commute, i.e., ''AB'' = ''BA'', then

:<math>\log{(AB)} = \log{(A)}+\log{(B)}. \, </math>