Description For courses in Advanced Linear Algebra.
This top-selling, theorem-proof text presents a careful treatment of the principle topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.
Features
NEW - Added section on the singular value decomposition.
Discusses the pseudoinverse of a matrix or a linear transformation between finite-dimensional inner product spaces.
NEW - Revised proofs, added examples and exercises.
Improves the clarity of the text and enhances students' understanding of it.
The friendliest treatment of rigor in linear algebra—Usually used for a 2nd course, but can be used for smart, fast students in first course.
Numerous accessible exercises—Enriches and extends the text material.
Offers students a chance to test their understanding by working interesting problems at a reasonable level of difficulty.
Real-world applications throughout.
Reveals to students the power of the subject by demonstrating its practical uses.
New to this edition
Added section on the singular value decomposition.
Discusses the pseudoinverse of a matrix or a linear transformation between finite-dimensional inner product spaces.
Revised proofs, added examples and exercises.
Improves the clarity of the text and enhances students' understanding of it.
Table of contents
1. Vector Spaces.
2. Linear Transformations and Matrices.
3. Elementary Matrix Operations and Systems of Linear Equations.
4. Determinants.
5. Diagonalization.
6. Inner Product Spaces.