Cover image for Linear algebra : an interactive laboratory approach with mathematica
Title:
Linear algebra : an interactive laboratory approach with mathematica
Personal Author:
Publication Information:
Massachusetts : Addison-Wesley Longman, 1996
Physical Description:
1v + 1 Disket (DSK 1672)
ISBN:
9780201826425

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30000004497446 QA185.C65 W53 1996 Open Access Book Book
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30000004497370 QA185.C65 W53 1996 Open Access Book Book
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On Order

Table of Contents

Introductory Material
Introduction to Mathematica
Introduction to Linear Systems and Row Operations
Linear Systems and Applications
Linear Systems and Gaussian Elimination
Gaussian Elimination by Example
A Summary of Gaussian Elimination
Backsubstitution and Backaddition
Gaussian Elimination with Mathematica
The General Solution to Linear Systems
Matrix Algebra
Matrix Multiplication from a Geometric Viewpoint
Matrix Arithmetic
Matrix Arithmetic with Mathematica
Properties of Matrix Algebra
Matrix Algebra and Block Matrices
Matrix Inverses: Definitions and Basic Properties
Computing Matrix Inverses
Matrix Inverses and Systems of Equations
Systems From Two Advanced Viewpoints
Elementary Matrices and the PTLU Decomposition
Applications of the PTLU Decomposition
Discovering Determinants
Systems of Equations from a Geometric Viewpoint
Abstract Vector Spaces and Bases
Vectors and Vector Spaces
Coordinate Systems and Bases
Independent and Spanning Sets
Constructing Bases
The Theory of Bases
Subspaces and Linear Transformations
Inner Product Spaces
Inner Products
Orthonormal Bases and Projections
Gram-Schmidt Orthonormalization
Change of Basis and Eigensystems
Linear Transformations and Matrices
The Effects of Changing Coordinates
Discrete Dynamical Systems and Eigensystems
Eigenvectors and Eigenvalues
Appendix of Mathematica Commands