Idempotent Matrices

David A. Harville ()
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David A. Harville: IBM T.J. Watson Research Center, Mathematical Sciences Department

Chapter 10 in Matrix Algebra From a Statistician’s Perspective, 1997, pp 133-138 from Springer

Abstract: Abstract This chapter is devoted to a very important class of matrices called idempotent matrices. It provides coverage of some basic properties of idempotent matrices and also of some basic results pertaining to idempotent matrices. Idempotent matrices play an important role in the theory of linear statistical models (especially in connection with the theory of least squares and the analysis of variance) and (not coincidentally) appear prominently in several of the ensuing chapters of this book (including Chapters 12 and 17). Making idempotent matrices the subject of a separate chapter (even though this results in a very short chapter) is convenient and serves to emphasize their importance.

Date: 1997
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DOI: 10.1007/0-387-22677-X_10

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