TY  - BOOK
AU  - Fieller,Nick
TI  - Basics of matrix algebra for statistics with R
T2  - Chapman & Hall/CRC the R series
SN  - 9781498712361 
U1  - 000SA.055 23
PY  - 2016///
CY  - Boca Raton
PB  - CRC Press
KW  - Mathematical statistics
KW  - Data processing
KW  - Matrices
KW  - R (Computer program language)
N1  - Includes bibliographical references and index; 1. Introduction --
2. Vectors and matrices --
3. Rank of matrices --
4. Determinats --
5. Inverses --
6. Eigenanalysis of real symmetric matrices --
7. Vector and matrix calculus --
8. Further topics --
9. Key applications to statistics
N2  - The book introduces the definition of a matrix and the basic rules of addition, subtraction, multiplication, and inversion. Later topics include determinants, calculation of eigenvectors and eigenvalues, and differentiation of linear and quadratic forms with respect to vectors. The text explores how these concepts arise in statistical techniques, including principal component analysis, canonical correlation analysis, and linear modeling.
In addition to the algebraic manipulation of matrices, the book presents numerical examples that illustrate how to perform calculations by hand and using R. Many theoretical and numerical exercises of varying levels of difficulty aid readers in assessing their knowledge of the material. Outline solutions at the back of the book enable readers to verify the techniques required and obtain numerical answers
ER  -