Introduction to Linear Algebra for Science and Engineering 3rd Edition by Dan Wolczuk, Daniel Norman- Ebook PDF Instant Download/Delivery:9780135278581, 0135278589
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Product details:
ISBN 10: 0135278589
ISBN 13: 9780135278581
Author: Dan Wolczuk, Daniel Norman
Table of contents:
Chapter 1: Euclidean Vector Spaces
1.1. Vectors in R2 and R3
1.2. Spanning and Linear Independence in R2 and R3
1.3. Length and Angles in R2 and R3
1.4. Vectors in Rn
1.5. Dot Products and Projections in Rn
Chapter 2: Systems of Linear Equations
2.1. Systems of Linear Equations and Elimination
2.2. Reduced Row Echelon Form, Rank, and Homogeneous Systems
2.3. Application to Spanning and Linear Independence
2.4. Applications of Systems of Linear Equations
Chapter 3: Matrices, LinearMappings, and Inverses
3.1. Operations onMatrices
3.2. MatrixMappings and LinearMappings
3.3. Geometrical Transformations
3.4. Special Subspaces
3.5. InverseMatrices and InverseMappings
3.6. ElementaryMatrices
3.7. LU-Decomposition
Chapter 4: Vector Spaces
4.1. Spaces of Polynomials
4.2. Vector Spaces
4.3. Bases and Dimensions
4.4. Coordinates
4.5. General LinearMappings
4.6. Matrix of a LinearMapping
4.7. Isomorphisms of Vector Spaces
Chapter 5: Determinants
5.1. Determinants in Terms of Cofactors
5.2. Properties of the Determinant
5.3. Inverse by Cofactors, Cramer’s Rule
5.4. Area, Volume, and the Determinant
Chapter 6: Eigenvectors and Diagonalization
6.1. Eigenvalues and Eigenvectors
6.2. Diagonalization
6.3. Applications of Diagonalization
Chapter 7: Inner Products and Projections
7.1. Orthogonal Bases in Rn
7.2. Projections and the Gram-Schmidt Procedure
7.3. Method of Least Squares
7.4. Inner Product Spaces
7.5. Fourier Series
Chapter 8: SymmetricMatrices and Quadratic Forms
8.1. Diagonalization of SymmetricMatrices
8.2. Quadratic Forms
8.3. Graphs of Quadratic Forms
8.4. Applications of Quadratic Forms
8.5. Singular Value Decomposition
Chapter 9: Complex Vector Spaces
9.1. Complex Numbers
9.2. Systems with Complex Numbers
9.3. Complex Vector Spaces
9.4. Complex Diagonalization
9.5. Unitary Diagonalization
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