The linear algebra survival guide : illustrated with mathematica / Fred Szabo.

Format:

Book

Author/Creator:

Szabo, Fred, author.

Language:

English

Subjects (All):

Mathematica (Computer file).

Algebras, Linear.

Physical Description:

1 online resource (441 p.) : illustrations

Place of Publication:

Amsterdam, [Netherlands] : Academic Press, an imprint of Elsevier, 2015.

Summary:

The Linear Algebra Survival Guide is a reference book with a free downloadable Mathematica notebook containing all of interactive code to make the content of the book playable in Mathematica and the Mathematica Player. It offers a concise introduction to the core topics of linear algebra which includes numerous exercises that will accompany a first or second course in linear algebra. This book will guide you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple-- allowing you to tackle realistic problems using simple mathematic

Contents:

Front Cover; The Linear Algebra Survival Guide: Illustrated with Mathematica; Copyright; About the Matrix Plot; Table of Contents; Preface; Dedication; About the Author; Introduction; Chapter 1: A; Addition of Matrices ; Adjacency Matrix ; Adjoint Matrix ; Adjoint Transformation ; Adjugate of a Matrix ; Affine Transformation ; Algebraic Multiplicity of an Eigenvalue ; Angle ; Area of a Parallelogram ; Area of a Triangle ; Array ; Arrow ; Augmented Matrix ; Chapter 2: B; Back Substitution ; Band Matrix ; Basic Variable of a Linear System ; Basis of a Vector Space

Bijective Linear Transformation Bilinear Functional ; Chapter 3: C; Cartesian Product of Vector Spaces ; Cauchy-Schwarz Inequality ; Cayley-Hamilton Theorem ; Change-of-Basis Matrix ; Characteristic Polynomial ; Cholesky Decomposition ; Codimension of a Vector Subspace ; Codomain of a Linear Transformation ; Cofactor Matrix ; Column Space ; Column Vector ; Companion Matrix ; Complex Conjugate ; Composition of Linear Transformations ; Condition Number of a Matrix ; Congruence Transformation ; Congruent Symmetric Matrices ; Conjugate Transpose ; Consistent Linear System

Contraction Along a Coordinate Axis Coordinate Conversion Matrix ; Coordinate System ; Coordinate Vector ; Correlation Coefficient ; Correlation Matrix ; Cosine of an Angle ; Covariance ; Covariance Matrix ; Cramer's Rule ; Cross Product ; Chapter 4: D; Defective Matrix ; Determinant ; Diagonal ; Diagonal Decomposition ; Diagonal Matrix ; Diagonal of a Matrix ; Difference Equation ; Dimension of a Vector Space ; Dimensions of a Matrix ; Dirac Matrix ; Direct Sum of Vector Spaces ; Discrete Fourier Transform ; Discriminant of a Hessian Matrix ; Disjoint Subspaces

Distance Between a Point and a Plane Distance Function ; Domain of a Linear Transformation ; Dot Product ; Dual Space ; Chapter 5: E; Echelon Form ; Eigenspace ; Eigenvalue ; Eigenvector ; Elementary Matrix ; Elementary Row Operation ; Euclidean Distance ; Euclidean Norm ; Euclidean Space ; Exact Solution ; Expansion Along a Coordinate Axis ; Exponential Form of Complex Numbers ; Chapter 6: F; Finite-Dimensional Vector Space ; Forward Substitution ; Fourier Matrix ; Fourier Transform ; Fredholm's Theorem ; Free Variable of a Linear System ; Frobenius Companion Matrix ; Frobenius Norm

Full Rank of a Matrix Fundamental Subspace ; Fundamental Theorem of Algebra ; Chapter 7: G; Gaussian Elimination ; Gauss-Jordan Elimination ; General Solution of a Linear System ; Geometric Multiplicity of an Eigenvalue ; Geometric Transformation ; Gram-Schmidt Process ; Chapter 8: H; Hankel Matrix ; Height of a Column Vector ; Hermitian Inner Product ; Hermitian Matrix ; Hessenberg Matrix ; Hessian Matrix ; Hilbert Matrix ; Homogeneous Coordinate ; Homogeneous Linear System ; Householder Matrix ; Chapter 9: I; Identity Matrix ; Ill-Conditioned Matrix ; Image of a Linear Transformation

Incidence Matrix

Notes:

Includes index.

Description based on print version record.

ISBN:

9780124095311

0124095313