Matrix Algebra From a Statistician's Perspective
1st ed. 1997. 2nd printing 2008
Book Details
Format
Paperback / Softback
ISBN-10
0387783563
ISBN-13
9780387783567
Edition
1st ed. 1997. 2nd printing 2008
Publisher
Springer-Verlag New York Inc.
Imprint
Springer-Verlag New York Inc.
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 27th, 2008
Print length
634 Pages
Weight
1,008 grams
Dimensions
23.30 x 15.50 x 3.50 cms
Product Classification:
AlgebraProbability & statistics
Ksh 13,050.00
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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.
Preface. - Matrices. - Submatrices and partitioned matricies. - Linear dependence and independence. - Linear spaces: row and column spaces. - Trace of a (square) matrix. - Geometrical considerations. - Linear systems: consistency and compatability. - Inverse matrices. - Generalized inverses. - Indepotent matrices. - Linear systems: solutions. - Projections and projection matrices. - Determinants. - Linear, bilinear, and quadratic forms. - Matrix differentiation. - Kronecker products and the vec and vech operators. - Intersections and sums of subspaces. - Sums (and differences) of matrices. - Minimzation of a second-degree polynomial (in n variables) subject to linear constraints. - The Moore-Penrose inverse. - Eigenvalues and Eigenvectors. - Linear transformations. - References. - Index.
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