Hands On Matrix Algebra Using R


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Hands-on Matrix Algebra Using R


Hands-on Matrix Algebra Using R

Author: Hrishikesh D. Vinod

language: en

Publisher: World Scientific

Release Date: 2011


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Teaches matrix algebra, allowing the student to learn the material by actually working with matrix objects in modern computer environment of R. This book provides an overview of matrix theory without being bogged down in proofs or tedium.

Basics of Matrix Algebra for Statistics with R


Basics of Matrix Algebra for Statistics with R

Author: Nick Fieller

language: en

Publisher: CRC Press

Release Date: 2018-09-03


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A Thorough Guide to Elementary Matrix Algebra and Implementation in R Basics of Matrix Algebra for Statistics with R provides a guide to elementary matrix algebra sufficient for undertaking specialized courses, such as multivariate data analysis and linear models. It also covers advanced topics, such as generalized inverses of singular and rectangular matrices and manipulation of partitioned matrices, for those who want to delve deeper into the subject. 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. Avoiding vector spaces and other advanced mathematics, this book shows how to manipulate matrices and perform numerical calculations in R. It prepares readers for higher-level and specialized studies in statistics.

Introduction to Applied Linear Algebra


Introduction to Applied Linear Algebra

Author: Stephen Boyd

language: en

Publisher: Cambridge University Press

Release Date: 2018-06-07


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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.