Elementary Linear Algebra with Applications: MATLAB®, Mathematica® and Maplesoft™

✍ Scribed by George Nakos

• Publisher: de Gruyter
• Year: 2024
• Tongue: English
• Leaves: 700
• Category: Library

✦ Synopsis

This text offers a unique balance of theory and a variety of standard and new applications along with solved technology-aided problems. The book includes the fundamental mathematical theory, as well as a wide range of applications, numerical methods, projects, and technology-assisted problems and solutions in Maple, Mathematica, and MATLAB. Some of the applications are new, some are unique, and some are discussed in an essay. There is a variety of exercises which include True/False questions, questions that require proofs, and questions that require computations.
The goal is to provide the student with is a solid foundation of the mathematical theory and an appreciation of some of the important real-life applications. Emphasis is given on geometry, matrix transformations, orthogonality, and least-squares.
Designed for maximum flexibility, it is written for a one-semester/two semester course at the sophomore or junior level for students of mathematics or science.

✦ Table of Contents

Preface
Acknowledgment
Contents
1 Linear systems
2 Vectors
3 Matrices
4 Vector spaces
5 Linear transformations
6 Determinants
7 Eigenvalues
8 Orthogonality and least squares
9 Quadratic forms, SVD, wavelets
A Introduction to complex numbers
B Uniqueness of RREF
Answers to selected exercises
Bibliography
Index of Applications
Index