Linear Algebra and Its Applications
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Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and require time to assimilate. Since they are fundamental to the study of linear algebra, students' understanding of these concepts is vital to their mastery of the subject. Lay introduces these concepts early in a familiar, concrete Rn setting, develops them gradually, and returns to them again and again throughout the text so that when discussed in the abstract, these concepts are more accessible. Booknews Provides a modern, elementary introduction to linear algebra and some of its interesting applications, suitable for students with two semesters of college-level mathematics experience, usually calculus. Includes the full spectrum of pedagogical features including examples, theorems and proofs, practice problems, exercises, true/false questions, and writing exercises. Updated with a more visual approach to concepts, expanded case studies, and improved technological support for students and instructors in the form of CD-ROM and a new website. Annotation c. Book News, Inc., Portland, OR (booknews.com)
PrefaceA Note to Students1Linear Equations in Linear Algebra12Matrix Algebra973Determinants1794Vector Spaces2095Eigenvalues and Eigenvectors2956Orthogonality and Least-Squares3677Symmetric Matrices and Quadratic Forms441App. AUniqueness of the Reduced Echelon FormA1App. BComplex NumbersA3GlossaryA9Answers to Odd-Numbered ExercisesA21IndexI1
