# Elementary Linear Algebra

## Edition: 8th 2000 (Student Manual, Study Guide, etc.)

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#### Book details

List price: \$42.95
Edition: 8th
Publisher: John Wiley & Sons, Incorporated
Publication date: 1/28/2000
Binding: Paperback
Pages: 720
Size: 7.50" wide x 9.00" long x 1.25" tall
Weight: 2.398
Language: English

 Note: All relevant chapters end with Supplementary Exercises. Linear Equations and Matrices Systems of Linear Equations Matrices Matrix Multiplication Algebraic Properties of Matrix Operations Special Types of Matrices and Partitioned Matrices Matrix Transformations Computer Graphics Correlation Coefficient (Optional) Solving Linear Systems Echelon Form of a Matrix Elementary Matrices: Finding A-1 Equivalent Matrices LU-Factorization (Optional) Real Vector Spaces Vectors in the Plane and in 3-space Vector Spaces Subspaces Span and Linear Independence Basis and Dimension Homogeneous Systems Coordinates and Isomorphisms Rank of a Matrix Inner Product Spaces Standard Inner Product on R2 and R3 Cross Product in R3 (Optional) Inner Product Spaces Gram-Schmidt Process Orthogonal Complements Least Squares (Optional) Linear Transformations and Matrices Definition and Examples Kernel and Range of a Linear Transformation Matrix of a Linear Transformation Vector Space of Matrices and Vector Space of Linear Transformations (Optional) Similarity Inroduction to Homogeneous Coordinates (Optional) Determinants Definition Properties of Determinants Cofactor Expansion Inverse of a Matrix Other Applications of Determinants Determinants from a Computational Point of View Eigenvalues and Eigenvectors Eigenvalues and Eigenvectors Diagonalization and Similar Matrices Stable Age Distribution in a Population Markov Processes (Optional) Diagonalization of Symmetric Matrices Spectral Decomposition and Singular Value Decomposition (Optional) Real Quadratic Forms Conic Sections Quadric Surfaces Dominant Eigenvalue and Principal Component Analysis (Optional) Differential Equations (Optional) Differential Equations Dynamical Systems MATLAB for Linear Algebra Input and Output in MATLAB Matrix Operations in MATLAB Matrix Powers and Some Special Matrices Elementary Row Operations in MATLAB Matrix Inverses in MATLAB Vectors in MATLAB Applications of Linear Combinations in MATLAB Linear Transformations in MATLAB MATLAB Command Summary MATLAB Exercises Preliminaries Sets Functions Complex Numbers Complex Numbers Complex Numbers in Linear Algebra Introduction to Proofs Answers to Odd-Numbered Exercises Index
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