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Elementary Linear Algebra: A Matrix Approach by Stephen H. Friedberg, Lawrence E. Spence, Arnold J. Insel (Hardcover, 1999)

World of Books Ltd (10321972)

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For a second year course in Linear Algebra. Based on the recommendations of the LACSG, this introduction to linear algebra offers a matrix-oriented approach with more emphasis on problem solving and applications and less emphasis on abstraction than in a traditional course. Throughout the text, use of technology is encouraged. The focus is on matrix arithmetic, systems of linear equations, properties of Euclidean n-space, eigenvalues and eigenvectors, and orthogonality. Although matrix-oriented, the text provides a solid coverage of vector spaces. *Emphasis on Euclidean n-space rather than abstract vector spaces. *A large number and variety of exercises (2200 in all) - Over 400 true/false questions, 100 practice problems (with solutions), theoretical exercises, and exercises that require the use of technology. *Early introduction of the span and linear independence. *Interplay between matrices and linear transformations. *Provides motivation for several topics for which the linear transformation version is more natural than the matrix formulation. *Optional sections that can be omitted without loss of continuity - e.g., Applications of Systems of Linear Equations; Applications of Matrix Multiplication; The LU Decomposition of a Matrix; Applications of Eigenvalues; Singular Value Decomposition; Rotations of R^3.