Elementary Linear Algebra

The hallmark of this text has been the authors' clear, careful, and concise presentation of linear algebra so that students can fully understand how the mathematics works. The text balances theory with examples, applications, and geometric intuition. New! Learning Tools CD-ROM will be automatically packaged free with every new text purchased from Houghton Mifflin. New! Section 3.4, now named "Introduction to Eigenvalues," has been broken into two separate sections to provide more emphasis on the early introduction of eigenvalues. The new Section 3.5, "Applications of Determinants," covers the Adjoint of a Matrix; Cramer's Rule; and the Area, Volume, and Equations of Lines and Planes. New! All real data in exercises and examples have been updated to reflect current statistics and information. New! This edition features more Writing Exercises to reinforce critical-thinking skills and additional multi-part True/False Questions in the end-of-section and chapter review exercise sets to encourage students to think about mathematics from different perspectives. New! Additional exercises involving larger matrices have been added to the exercise sets where appropriate. These exercises will be linked to the data sets found on the web site and the Learning Tools CD-ROM. Guided Proofs help students successfully complete theoretical proofs by leading them, step-by-step, through the logical sequence of statements necessary to reach the correct conclusion. Text-specific web site features student and instructor resources, including text Chapters 8 through 10; MATLAB exercises for Chapters 1 through 7; data sets for new matrix problems; and a Graphing Calculator Keystroke Guide featuring the TI-83/TI-83 Plus, TI-86, TI-89, and TI-92 models.