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.

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2013 Text and Academic Authors Association Award for CALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, the 2011 William Holmes McGuffey Longevity Award for PRECALCULUS: REAL MATHEMATICS, REAL PEOPLE, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.