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# Linear Algebra

- 1st Edition
- Author: Fred Szabo
- Language: English

Linear Algebra: An Introduction Using MAPLE is a text for a first undergraduate course in linear algebra. All students majoring in mathematics, computer science, engineering,… Read more

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Worked examples provide step-by-step methods for solving basic problems using Maple

The subject's rich pertinence to problem solving across disciplines is illustrated with applications in engineering, the natural sciences, computer animation, and statistics

Random Matrices

Row And Column Vectors

Dot Products And Matrix Multiplication

Assignments And Procedures

Solving Linear Systems

Matrix Decomposition

Determinants And Norms

Geometry

Special Symbols

Maple Help

Integrated Tutorial

Linear Systems

Linear Equations

Linear Systems

Solving Linear Systems

Matrices And Linear Systems

Augmented Matrices

Row Echelon Matrices

Reduced Row Echelon Matrices

Matrix Equations

Applications

Review

Matrix Algebra

Introduction

Basic Matrix Operations

A Lexicon Of Matrices

Invertible Matrices

Orthogonal Matrices

The Lu Decomposition

Applications

Review

Determinants

The Laplace Expansion

Applications

Review

Vectorspaces

Real Vector Spaces

Bases And Dimension

Subspaces

Complex Vector Spaces

Review

Linear Transformations

Linear Transformations

Matrices Of Linear Transformations

Images And Kernels

Similarity

Review

Eigenvalues And Eigenvectors

Introduction

Characteristic Polynomials

Eigenspaces

Diagonalizing Square Matrices

Applications

Review

Norms And Inner Products

Euclidean Norms And Dot Products

Non-Euclidean Norms

Real Inner Products

Angles

Quadratic Forms

Complex Inner Products

Review

Orthogonality

Orthogonal Vectors

Orthogonal Bases

Orthonormal Bases

The Qr Decomposition

Orthogonal Matrices

Orthogonal Subspaces

Orthogonal Transformations

The Method Of Least Squares

Review

Singular Values And Singular Vectors

Singular Values

Singular Value Decomposition

Applications

Review

A The Fundamental Theorem Of Algebra

B Numerical Calculations

C Mathematical Induction

D Sigmanotation

E Maple Packages

The Combinat Package

The Geometry Package

The Linalg Package

The Linearalgebra Package

The Networks Package

The Plots Package

The Plottools Package

The Stats Package

F Answers To Odd-Numbered Exercises

Linear Systems

Matrix Algebra

Determinants

Vector Spaces

Linear Transformations

Eigenvalues And Eigenvectors

Norms And Inner Products

Orthogonality

Singular Values And Singular Vectors

Index

- Language: English
- Edition: 1
- Published:
- Imprint: Academic Press

FS

### Fred Szabo

The Linear Algebra Survival Guide, 1st Edition

Actuaries' Survival Guide, 2nd Edition

Actuaries' Survival Guide, 1st Edition

Linear Algebra: An Introduction using Maple, 1st Edition

Linear Algebra: An Introduction using Mathematica, 1st Edition

Fred E. Szabo is professor in the Department of Mathematics and Statistics at Concordia University in Canada. He completed his undergraduate studies at Oxford University under the guidance of Sir Michael Dummett and received a Ph.D. in mathematics from McGill University under the supervision of Joachim Lambek. After postdoctoral studies at Oxford University and visiting professorships at several European universities, he returned to Concordia University as a faculty member and dean of graduate studies. For more than twenty years, he developed methods for the teaching of mathematics with technology. In 2012 he was honored at the annual Wolfram Technology Conference for his work on "A New Kind of Learning" with a Wolfram Innovator Award. He is currently professor and Provost Fellow at Concordia University.