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catalog contributor b11687986.
catalog contributor b11687987.
catalog created "c2000.".
catalog date "2000".
catalog date "c2000.".
catalog dateCopyrighted "c2000.".
catalog description "1 Linear Equations and Matrices 1 -- 1.1 Systems of Linear Equations 1 -- 1.2 Matrices; Matrix Operations 8 -- 1.3 Algebraic Properties of Matrix Operations 20 -- 1.4 Special Types of Matrices and Partitioned Matrices 29 -- 1.5 Echelon Form of a Matrix 40 -- 1.6 Elementary Matrices; Finding A[superscript -1] 60 -- 1.7 Equivalent Matrices 69 -- 1.8 LU-Factorization (Optional) 73 -- 2 Real Vector Spaces 84 -- 2.1 Vectors in the Plane and in 3-Space 84 -- 2.2 Vector Spaces 96 -- 2.3 Subspaces 103 -- 2.4 Span and Linear Independence 114 -- 2.5 Basis and Dimension 125 -- 2.6 Homogeneous Systems 140 -- 2.7 Coordinates and Isomorphisms 148 -- 2.8 Rank of a Matrix 164 -- 3 Inner Product Spaces 182 -- 3.1 Standard Inner Product on R[superscript 2] and R[superscript 3] 182 -- 3.2 Cross Product in R[superscript 3] (Optional) 192 -- 3.3 Inner Product Spaces 199 --".
catalog description "3.4 Gram-Schmidt Process 213 -- 3.5 Orthogonal Complements 226 -- 3.6 Least Squares (Optional) 243 -- 4 Linear Transformations and Matrices 253 -- 4.1 Definition and Examples 253 -- 4.2 Kernel and Range of a Linear Transformation 265 -- 4.3 Matrix of a Linear Transformation 281 -- 4.4 Vector Space of Matrices and Vector Space of Linear Transformations (Optional) 291 -- 4.5 Similarity 299 -- 4.6 Computer Graphics (Optional) 306 -- 5 Determinants 315 -- 5.1 Definition 315 -- 5.2 Properties of Determinants 320 -- 5.3 Cofactor Expansion 331 -- 5.4 Inverse of a Matrix 338 -- 5.5 Other Applications of Determinants 343 -- 5.6 Determinants from a Computational Point of View 349 -- 6 Eigenvalues and Eigenvectors 351 -- 6.1 Eigenvalues and Eigenvectors 351 -- 6.2 Diagonalization and Similar Matrices 365 -- 6.3".
catalog description "Appendix B Complex Numbers 513 -- B.1 Complex Numbers 513 -- B.2 Complex Numbers in Linear Algebra 522.".
catalog description "Stable Age Distribution in a Population; Markov Processes (Optional) 375 -- 6.4 Diagonalization of Symmetric Matrices 382 -- 6.5 Spectral Decomposition and Singular Value Decomposition (Optional) 395 -- 6.6 Real Quadratic Forms 405 -- 6.7 Conic Sections 415 -- 6.8 Quadric Surfaces 424 -- 7 Differential Equations (Optional) 436 -- 7.1 Differential Equations 436 -- 7.2 Dynamical Systems 447 -- 8 Matlab for Linear Algebra 457 -- 8.1 Input and Output in MATLAB 458 -- 8.2 Matrix Operations in MATLAB 462 -- 8.3 Matrix Powers and Some Special Matrices 465 -- 8.4 Elementary Row Operations in MATLAB 468 -- 8.5 Matrix Inverses in MATLAB 478 -- 8.6 Vectors in MATLAB 479 -- 8.7 Applications of Linear Combinations in MATLAB 481 -- 8.8 Linear Transformations in MATLAB 485 -- 9 MATLAB Exercises 491 -- Appendix A Preliminaries 509 -- A.1 Sets 509 -- A.2 Functions 509 --".
catalog extent "xv, 568 p. :".
catalog identifier "013085199X".
catalog issued "2000".
catalog issued "c2000.".
catalog language "eng".
catalog publisher "Upper Saddle River, N.J. : Prentice Hall,".
catalog subject "512/.5 21".
catalog subject "Algebras, Linear.".
catalog subject "QA184 .K668 2000".
catalog tableOfContents "1 Linear Equations and Matrices 1 -- 1.1 Systems of Linear Equations 1 -- 1.2 Matrices; Matrix Operations 8 -- 1.3 Algebraic Properties of Matrix Operations 20 -- 1.4 Special Types of Matrices and Partitioned Matrices 29 -- 1.5 Echelon Form of a Matrix 40 -- 1.6 Elementary Matrices; Finding A[superscript -1] 60 -- 1.7 Equivalent Matrices 69 -- 1.8 LU-Factorization (Optional) 73 -- 2 Real Vector Spaces 84 -- 2.1 Vectors in the Plane and in 3-Space 84 -- 2.2 Vector Spaces 96 -- 2.3 Subspaces 103 -- 2.4 Span and Linear Independence 114 -- 2.5 Basis and Dimension 125 -- 2.6 Homogeneous Systems 140 -- 2.7 Coordinates and Isomorphisms 148 -- 2.8 Rank of a Matrix 164 -- 3 Inner Product Spaces 182 -- 3.1 Standard Inner Product on R[superscript 2] and R[superscript 3] 182 -- 3.2 Cross Product in R[superscript 3] (Optional) 192 -- 3.3 Inner Product Spaces 199 --".
catalog tableOfContents "3.4 Gram-Schmidt Process 213 -- 3.5 Orthogonal Complements 226 -- 3.6 Least Squares (Optional) 243 -- 4 Linear Transformations and Matrices 253 -- 4.1 Definition and Examples 253 -- 4.2 Kernel and Range of a Linear Transformation 265 -- 4.3 Matrix of a Linear Transformation 281 -- 4.4 Vector Space of Matrices and Vector Space of Linear Transformations (Optional) 291 -- 4.5 Similarity 299 -- 4.6 Computer Graphics (Optional) 306 -- 5 Determinants 315 -- 5.1 Definition 315 -- 5.2 Properties of Determinants 320 -- 5.3 Cofactor Expansion 331 -- 5.4 Inverse of a Matrix 338 -- 5.5 Other Applications of Determinants 343 -- 5.6 Determinants from a Computational Point of View 349 -- 6 Eigenvalues and Eigenvectors 351 -- 6.1 Eigenvalues and Eigenvectors 351 -- 6.2 Diagonalization and Similar Matrices 365 -- 6.3".
catalog tableOfContents "Appendix B Complex Numbers 513 -- B.1 Complex Numbers 513 -- B.2 Complex Numbers in Linear Algebra 522.".
catalog tableOfContents "Stable Age Distribution in a Population; Markov Processes (Optional) 375 -- 6.4 Diagonalization of Symmetric Matrices 382 -- 6.5 Spectral Decomposition and Singular Value Decomposition (Optional) 395 -- 6.6 Real Quadratic Forms 405 -- 6.7 Conic Sections 415 -- 6.8 Quadric Surfaces 424 -- 7 Differential Equations (Optional) 436 -- 7.1 Differential Equations 436 -- 7.2 Dynamical Systems 447 -- 8 Matlab for Linear Algebra 457 -- 8.1 Input and Output in MATLAB 458 -- 8.2 Matrix Operations in MATLAB 462 -- 8.3 Matrix Powers and Some Special Matrices 465 -- 8.4 Elementary Row Operations in MATLAB 468 -- 8.5 Matrix Inverses in MATLAB 478 -- 8.6 Vectors in MATLAB 479 -- 8.7 Applications of Linear Combinations in MATLAB 481 -- 8.8 Linear Transformations in MATLAB 485 -- 9 MATLAB Exercises 491 -- Appendix A Preliminaries 509 -- A.1 Sets 509 -- A.2 Functions 509 --".
catalog title "Elementary linear algebra / Bernard Kolman, David R. Hill.".
catalog type "text".