About this product

Product Identifiers

PublisherWiley & Sons, Incorporated, John

ISBN-100471063681

ISBN-139780471063681

eBay Product ID (ePID)227919

Product Key Features

Number of Pages296 Pages

Publication NameLinear Algebra with Maple

LanguageEnglish

Publication Year1994

SubjectAlgebra / Linear

TypeTextbook

Subject AreaMathematics

AuthorJerry Johnson, Benny Evans, William C. Bauldry

FormatTrade Paperback

Dimensions

Item Height0.6 in

Item Weight17.6 Oz

Item Length9.3 in

Item Width7.6 in

Additional Product Features

Intended AudienceCollege Audience

LCCN95-127133

Dewey Edition20

Dewey Decimal512/.5/078

Table Of ContentPreface 1. Systems of Equations * Solutions of systems of equations 2. Augmented Matrices and Elementary Row Operations * Augmented matrix * Elementary row operation * Echelon form * Reduced echelon form * Gauss-Jordan elimination * Transpose * Rank 3. The Algebra of Matrices * Matrix addition * Scalar multiplication * Matrix multiplication 4. Inverses of Matrices * Matrix inversion 5. Determinants, Adjoints, and Cramer's Rule * Determinant * Adjoint * Cramer's rule 6. Application: Matrix Algebra and Modular Arithmetic * Modular arithmetic * Matrix operations * Hill codes 7. Vector Products, Lines, and Planes * Dot product * Cross product * Projection * Unit vector * Vectors in R'n * Orthogonal vectors 8. Vector Spaces and Subspaces * Vector space * Subspace * Spaces of functions and matrices * Linear combination * Spanning Set * Null Space * Rank of a matrix 9. Independence, Basis and Dimension * Linearly independent set * Basis * Dimension * Coordinate vector 10. Row Space, Column Space, and Null Space * Row space * Column space * Null space * Rank * Nullity 11. Inner Product Spaces * General inner products 12. Orthonormal Bases and the Gram-Schmidt Process * Orthonormal basis * Gram-Schmidt process 13. Change of Basis and Orthogonal Matrices * Transition (or change of basis) matrix * Orthogonal matrices 14. Eigenvalues and Eigenvectors * Characteristic polynomial * Eigenvalue * Eigenvector * Eigenspace 15. Diagonalization and Orthogonal Diagonalization * Similarity * Diagonalization * Symmetric matrix * Orthogonal diagonalization 16. Matrices and Linear Transformations from R'm to R'n * Linear transformation * Matrix of a linear transformation * Kernel of a linear transformation * Image of a linear transformation * Inverse of a linear transformation * Composition of linear transformations 17. Matrices of General Linear Transformations; Similarity * Matrix of a linear transformation * Similar matrices 18. Applications and Numerical Methods * Systems of differential equations * Gauss-Seidel method * Generalized inverse and curve fitting * Rotation of axes * LU and QR factorizations Appendix A. Maple V Mini-Reference Appendix B. User-Defined Functions

SynopsisThis manual allows students to use Maple as an investigative tool to explore the concepts behind algebra. Each chapter begins with worked examples, followed by exercises and substantial exploration and discovery problems which encourage students to investigate ideas on their own or in groups.

LC Classification NumberQA185.D37B38 1995