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PrefaceMatrix algebra plays a very important role in statistics and in many other disciplines. In many areas of statistics, it has become routine to use matrix algebra in the presentation and the derivation or verification of results. One such area is linear statistical models; another is multivariate analysis. In these areas, a knowledge of matrix algebra is needed in applying important concepts, as well as in studying the underlying theory, and is even needed to use various software packages (if they are to be used with confidence and competence). On many occasions, I have taught graduate-level courses in linear statistical models. Typically, the prerequisites for such courses include an introductory (undergraduate) course in matrix (or linear) algebra. Also typically, the preparation provided by this prerequisite course is not fully adequate. There are several reasons for this. The level of abstraction or generality in the matrix (or linear) algebra course may have been so high that it did not lead to a "working knowledge" of the subject, or, at the other extreme, the course may have emphasized computations at the expense of fundamental concepts. Further, the content of introductory courses on matrix (or linear) algebra varies widely from institution to institution and from instructor to instructor. Topics such as quadratic forms, partitioned matrices, and generalized inverses that play an important role in the study of linear statistical models may be covered inadequately if at all. An additional difficulty is that several years may have elapsed between the completion of the prerequisite course on matrix (or linear) algebra and the beginning of the course on linear statistical models.This book is about matrix algebra. A distinguishing feature is that the content, the ordering of topics, and the level of generality are ones that I consider appropriate for someone with an interest in linear statistical models and perhaps alsoThe content of the paperback version is essentially the same as that of the earlier, hardcover version. The paperback version differs from the earlier version in that a number of (mostly minor) corrections and alterations have been incorporated. In addition, the typography has been improved-as a side effect, the content and the numbering of the individual pages differ somewhat from those in the earlier version.vi Preface for someone with an inter...
