This best-selling textbook for a moment path in linear algebra is aimed toward undergrad math majors and graduate scholars. the radical technique taken right here banishes determinants to the tip of the publication. The textual content makes a speciality of the important objective of linear algebra: figuring out the constitution of linear operators on finite-dimensional vector areas. the writer has taken strange care to inspire strategies and to simplify proofs. quite a few fascinating workouts in each one bankruptcy is helping scholars comprehend and control the items of linear algebra.

The 3rd version includes significant advancements and revisions through the e-book. greater than three hundred new workouts were further because the past version. Many new examples were further to demonstrate the main principles of linear algebra. New subject matters lined within the booklet contain product areas, quotient areas, and twin areas. attractive new formatting creates pages with an surprisingly friendly visual appeal in either print and digital versions.

No necessities are assumed except the standard call for for appropriate mathematical adulthood. therefore the textual content starts off via discussing vector areas, linear independence, span, foundation, and size. The publication then bargains with linear maps, eigenvalues, and eigenvectors. Inner-product areas are brought, resulting in the finite-dimensional spectral theorem and its results. Generalized eigenvectors are then used to supply perception into the constitution of a linear operator.

From stories of past editions:

“… a didactic masterpiece”

—*Zentralblatt MATH*

“… a travel de strength within the provider of simplicity and readability … the main unique linear algebra ebook to seem in years, it definitely belongs in each undergraduate library.”

—*CHOICE*

The determinant-free proofs are based and intuitive.

—*American Mathematical Monthly*

“Clarity via examples is emphasised … the textual content is perfect for sophistication routines … I congratulate the writer and the writer for a well-produced textbook on linear algebra.”

—*Mathematical Reviews*