Submatrices and Partitioned Matrices

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

Chapter 2 in Matrix Algebra From a Statistician’s Perspective, 1997, pp 13-22 from Springer

Abstract: Abstract Two very important (and closely related) concepts are introduced in this chapter: that of a submatrix and that of a partitioned matrix. These concepts arise very naturally in statistics (especially in multivariate analysis and linear models) and in many other disciplines that involve probabilistic ideas. And results on submatrices and partitioned matrices, which can be found in Chapters 8, 9, 13, and 14 (and other of the subsequent chapters), have proved to be very useful. In particular, such results are almost indispensable in work involving the multivariate normal distribution—refer, for example, to Searle (1971, sec. 2.4f).

Date: 1997
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DOI: 10.1007/0-387-22677-X_2

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