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Linear Algebra with Maple - 95 edition

by William C. Bauldry

Linear Algebra with Maple (ISBN10: 0471063681; ISBN13: 9780471063681)
ISBN13: 978-0471063681
ISBN10: 0471063681

Summary: Preface1. Systems of Equations* Solutions of systems of equations2. Augmented Matrices and Elementary Row Operations* Augmented matrix *Elementary row operation *Echelon form *Reduced echelon form *Gauss-Jordan elimination *Transpose *Rank3. The Algebra of Matrices* Matrix addition *Scalar multiplication *Matrix multiplication4. Inverses of Matrices* Matrix inversion5. Determinants, Adjoints, and Cramer's Rule* Determinant *Adjoint *Cramer's rule6. Application: Matrix Algebra and Modular Arithme ...show moretic* Modular arithmetic *Matrix operations *Hill codes7. Vector Products, Lines, and Planes* Dot product *Cross product *Projection *Unit vector *Vectors in R?n *Orthogonal vectors8. Vector Spaces and Subspaces* Vector space *Subspace *Spaces of functions and matrices *Linear combination *Spanning Set *Null Space *Rank of a matrix9. Independence, Basis and Dimension* Linearly independent set *Basis *Dimension *Coordinate vector10. Row Space, Column Space, and Null Space* Row space *Column space *Null space *Rank *Nullity11. Inner Product Spaces* General inner products12. Orthonormal Bases and the Gram-Schmidt Process* Orthonormal basis *Gram-Schmidt process13. Change of Basis and Orthogonal Matrices* Transition (or change of basis) matrix *Orthogonal matrices14. Eigenvalues and Eigenvectors* Characteristic polynomial *Eigenvalue *Eigenvector *Eigenspace15. Diagonalization and Orthogonal Diagonalization *Similarity *Diagonalization *Symmetric matrix *Orthogonal diagonalization16. 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 transformations17. Matrices of General Linear Transformations;Similarity* Matrix of a linear transformation *Similar matrices18. Applications and Numerical Methods* Systems of differential equations *Gauss-Seidel method *Generalized inverse and curve fitting *Rotation of axes *LU and QR factorizationsAppendix A. Maple V Mini-ReferenceAppendix B. User-Defined Functions ...show less

Edition/Copyright: 95
Cover: Paperback
Publisher: John Wiley & Sons, Inc.
Published: 11/03/1994
International: No



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