Transcription of The Matrix Cookbook
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The Matrix Cookbook
The Matrix Cookbook [ ]Kaare Brandt PetersenMichael Syskind PedersenVersion: November 15, 20121 IntroductionWhat is this?These pages are a collection of facts (identities, approxima-tions, inequalities, relations, ..) about matrices and matters relating to is collected in this form for the convenience of anyone who wants a quickdesktop reference .Disclaimer:The identities, approximations and relations presented here wereobviously not invented but collected, borrowed and copied from a large amountof sources. These sources include similar but shorter notes found on the internetand appendices in books - see the references for a full :Very likely there are errors, typos, and mistakes for which we apolo-gize and would be grateful to receive corrections at ongoing:The project of keeping a large repository of relations involvingmatrices is naturally ongoing and the version will be apparent from the date inthe :Your suggestion for additional content or elaboration of sometopics
CONTENTS CONTENTS Notation and Nomenclature A Matrix A ij Matrix indexed for some purpose A i Matrix indexed for some purpose Aij Matrix indexed for some purpose An Matrix indexed for some purpose or The n.th power of a square matrix A 1 The inverse matrix of the matrix A A+ The pseudo inverse matrix of the matrix A (see Sec. 3.6) A1=2 The square root …
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