Features
• Fundamental ideas of linear algebra are introduced within the first seven lectures, in the concrete setting of Rn, and then gradually examined from different points of view. Later generalizations of these concepts appear as natural extensions of familiar ideas.
• Icons in the margins to flag topics for which expanded or enhanced material will be available on the Web.
• A modern view of matrix multiplication is presented. Definitions and proofs focus on the columns of a matrix rather than on the matrix entries.
• Numerical Notes give a realistic flavor to the text. Students are reminded frequently of issues that arise in the real-life use of linear algebra.
• Each major concept in the course is given a geometric interpretation because many students learn better when they can visualize an idea.
• [M] exercises appear in every section. To be solved with the aid of a [M]atrix program such as MATLAB, Maple, Mathematica, MathCad, Derive or programmable calculators with matrix capabilities, such as the TI-83 Plus, TI-86, TI-89, and HP-48G. Data for these exercises are provided on the Web.
• Section 2.9 is optional, which permits instructors to cover eigenvalues very early, by omitting or postponing Chapters 3 and 4.
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