... present the main results of the modern theory of multivariate statistics to an audience of advanced students who would appreciate a concise and mathematically rigorous treatment of that material It... offer a brief account of the prerequisite linear algebra as it will be applied in the subsequent development Some of the treatment is peculiar to the usages of multivariate statistics and to this... vector of observed variables An understanding of vectors, matrices, and, more generally, linear algebra is thus fundamental to the study of multivariate analysis Chapter represents our selection of