This top-selling, theorem-proof book 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. Chapter topics cover vector spaces, linear transformations and matrices, elementary matrix operations and systems of linear equations, determinants, diagonalization, inner product spaces, and canonical forms. For statisticians and engineers. This was a solid linear algebra book, though a bit dense in parts.
|Country:||Papua New Guinea|
|Published (Last):||10 May 2006|
|PDF File Size:||18.54 Mb|
|ePub File Size:||4.47 Mb|
|Price:||Free* [*Free Regsitration Required]|
View larger. Preview this title online. Download instructor resources. Additional order info. Buy an eText. This top-selling, theorem-proof text presents a careful treatment of the principal 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.
Discusses the pseudoinverse of a matrix or a linear transformation between finite-dimensional inner product spaces. Offers students a chance to test their understanding by working interesting problems at a reasonable level of difficulty. Vector Spaces. Linear Combinations and Systems of Linear Equations. Linear Dependence and Linear Independence. Bases and Dimension. Maximal Linearly Independent Subsets.
Linear Transformations, Null Spaces, and Ranges. The Matrix Representation of a Linear Transformation. Composition of Linear Transformations and Matrix Multiplication. Invertibility and Isomorphisms. The Change of Coordinate Matrix. Dual Spaces. Elementary Matrix Operations and Elementary Matrices. The Rank of a Matrix and Matrix Inverses.
Systems of Linear Equations—Theoretical Aspects. Systems of Linear Equations—Computational Aspects. Determinants of Order 2. Determinants of Order n. Properties of Determinants. Summary—Important Facts about Determinants. A Characterization of the Determinant. Eigenvalues and Eigenvectors. Matrix Limits and Markov Chains. Invariant Subspaces and the Cayley-Hamilton Theorem.
Inner Products and Norms. The Adjoint of a Linear Operator. Normal and Self-Adjoint Operators. Unitary and Orthogonal Operators and Their Matrices. Orthogonal Projections and the Spectral Theorem. The Singular Value Decomposition and the Pseudoinverse. Bilinear and Quadratic Forms. Einstein's Special Theory of Relativity.
Conditioning and the Rayleigh Quotient. The Geometry of Orthogonal Operators. The Jordan Canonical Form I.
The Minimal Polynomial. Rational Canonical Form. Complex Numbers. Pearson offers special pricing when you package your text with other student resources. If you're interested in creating a cost-saving package for your students, contact your Pearson rep. We're sorry! We don't recognize your username or password. Please try again. The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning.
You have successfully signed out and will be required to sign back in should you need to download more resources. Out of print.
Linear Algebra, 4th Edition. Stephen H. Spence, Illinois State University. Description For courses in Advanced Linear Algebra. NEW - Added section on the singular value decomposition. 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.
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. Revised proofs, added examples and exercises.
Table of Contents 1. Share a link to All Resources. Instructor Resources. Previous editions. Linear Algebra, 3rd Edition. Sign In We're sorry! Username Password Forgot your username or password? Sign Up Already have an access code? Instructor resource file download The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning.
Signed out You have successfully signed out and will be required to sign back in should you need to download more resources.
On-line Supplement. Adobe Reader. Students, buy or rent this eText.
Linear Algebra, 4th Edition
Goodreads helps you keep track of books you want to read. Want to Read saving…. Want to Read Currently Reading Read. Other editions. Enlarge cover.
Linear Algebra, 5th Edition
View larger. Preview this title online. Request a copy. Download instructor resources. Additional order info.