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Informationen zum Autor Ted Shifrin; Malcolm Adams Klappentext Linear Algebra: A Geometric Approach, Second Edition, presents the standard computational aspects of linear algebra and includes a variety of intriguing interesting applications that would be interesting to motivate science and engineering students, as well as help mathematics students make the transition to more abstract advanced courses. The text guides students on how to think about mathematical concepts and write rigorous mathematical arguments. Zusammenfassung Linear Algebra: A Geometric Approach, now in its second edition and written by Malcolm Adams and Ted Shifrin, presents the standard computational aspects of linear algebra. Inhaltsverzeichnis PrefaceForeword to the InstructorForeword to the Student Chapter 1. Vectors and Matrices1. Vectors2. Dot Product3. Hyperplanes in Rn4. Systems of Linear Equations and Gaussian Elimination5. The Theory of Linear Systems6. Some Applications Chapter 2. Matrix Algebra1. Matrix Operations2. Linear Transformations: An Introduction3. Inverse Matrices4. Elementary Matrices: Rows get Equal Time5. The Transpose Chapter 3. Vector Spaces1. Subspaces of Rn2. The Four Fundamental Subspaces3. Linear Independence and Basis4. Dimension and Its Consequences5. A Graphic Example6. Abstract Vector Spaces Chapter 4. Projections and Linear Transformations1. Inconsistent Systems and Projection2. Orthogonal Bases3. The Matrix of a Linear Transformation and the Change-of-Basis Formula4. Linear Transformations on Abstract Vector Spaces Chapter 5. Determinants1. Properties of Determinants2. Cofactors and Cramer's Rule3. Signed Area in R2 and Signed Volume in R2 Chapter 6. Eigenvalues and Eigenvectors1. The Characteristic Polynomial2. Diagonalizability3. Applications4. The Spectral Theorem Chapter 7. Further Topics1. Complex Eigenvalues and Jordan Canonical Form2. Computer Graphics and Geometry3. Matrix Exponentials and Differential Equations For Further ReadingAnswers to Selected ExercisesList of Blue BoxesIndex...
