Elementary Linear and Matrix Algebra
Date: 01 May 1972
Publisher: McGraw-Hill Education - Europe
Format: Hardback::225 pages
ISBN10: 0070429103
File size: 52 Mb
Filename: elementary-linear-and-matrix-algebra.pdf
Dimension: 166.9x 231.9x 28.2mm::716.67g
Download Link: Elementary Linear and Matrix Algebra
An introduction to abstract linear algebra over an arbitrary field is discussed. This is the proper context for abstract matrix theory, for the interaction between linear algebra and abstract algebra, and for understanding many applications such as coding theory. Infinite sums are series, and they do not always converge or add up. Things of substance are met here, including the rank of a matrix. The section on three dimensional geometry makes use of the earlier sections on linear equations, matrices and determinants and some of the proofs are more algebraic (even pedantic) than some readers would like. The cornerstone of ELEMENTARY LINEAR ALGEBRA is the authors' clear, careful, and concise presentation of material -written so that students can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step--step learning system. This is an introduction to linear algebra. The main part of the book features row operations and everything is done in terms of the row reduced echelon form and specific algorithms. At the end, the more abstract notions of vector spaces and linear transformations on vector spaces are presented. However, this is intended to be a first course in linear algebra for students who are sophomores or Row operation calculator: v. 1.25 PROBLEM TEMPLATE: Interactively perform a sequence of elementary row operations on the given m x n matrix A. SPECIFY MATRIX DIMENSIONS: Please select the size of the matrix from the popup menus, then click on the "Submit" button. Chapter 2 Matrices and Linear Algebra 2.1 Basics Denition 2.1.1. A matrix is an m
