Linear Algebra with Applications (Classic Version), 5th edition
Your access includes:
- Search, highlight, and take notes
- Easily create flashcards
- Use the app for access anywhere
- 14-day refund guarantee
4-month term, pay monthly or pay $43.96
Learn more, spend less
Special partners and offers
Enjoy perks from special partners and offers for students
Find it fast
Quickly navigate your eTextbook with search
Access all your eTextbooks in one place
Easily continue access
Keep learning with auto-renew
Linear Algebra with Applications is your guide to understanding the techniques and applications of linear algebra. Using straightforward language and emphasizing linear transformations as a unifying theme, the text makes complex topics clear and relatable. Instead of relying on abstract exposition, the author offers an abundance of examples and activities to get you hands-on with key concepts. The problems, exercises, and applications provided will help you assess your understanding and master the material.
For the 5th Edition, the text has been thoroughly reviewed and edited, with care to preserve Bretscher's signature, helpful organization. The exercise sets included are broad and varied and reflect the author's creativity and passion for this course.
Published by Pearson (January 1st 2022) - Copyright © 2013
Subject: Advanced Math
Category: Linear Algebra
Table of contents
1. Linear Equations
1.1 Introduction to Linear Systems
1.2 Matrices, Vectors, and Gauss-Jordan Elimination
1.3 On the Solutions of Linear Systems; Matrix Algebra
2. Linear Transformations
2.1 Introduction to Linear Transformations and Their Inverses
2.2 Linear Transformations in Geometry
2.3 Matrix Products
2.4 The Inverse of a Linear Transformation
3. Subspaces of Rn and Their Dimensions
3.1 Image and Kernel of a Linear Transformation
3.2 Subspace of Rn; Bases and Linear Independence
3.3 The Dimension of a Subspace of Rn
4. Linear Spaces
4.1 Introduction to Linear Spaces
4.2 Linear Transformations and Isomorphisms
4.3 The Matrix of a Linear Transformation
5. Orthogonality and Least Squares
5.1 Orthogonal Projections and Orthonormal Bases
5.2 Gram-Schmidt Process and QR Factorization
5.3 Orthogonal Transformations and Orthogonal Matrices
5.4 Least Squares and Data Fitting
5.5 Inner Product Spaces
6.1 Introduction to Determinants
6.2 Properties of the Determinant
6.3 Geometrical Interpretations of the Determinant; Cramer's Rule
7. Eigenvalues and Eigenvectors
7.2 Finding the Eigenvalues of a Matrix
7.3 Finding the Eigenvectors of a Matrix
7.4 More on Dynamical Systems
7.5 Complex Eigenvalues
8. Symmetric Matrices and Quadratic Forms
8.1 Symmetric Matrices
8.2 Quadratic Forms
8.3 Singular Values
9. Linear Differential Equations
9.1 An Introduction to Continuous Dynamical Systems
9.2 The Complex Case: Euler's Formula
9.3 Linear Differential Operators and Linear Differential Equations
Appendix A. Vectors
Appendix B: Techniques of Proof
Answers to Odd-numbered Exercises
Your questions answered
Pearson+ is your one-stop shop, with eTextbooks and study videos designed to help students get better grades in college.
A Pearson eTextbook is an easy‑to‑use digital version of the book. You'll get upgraded study tools, including enhanced search, highlights and notes, flashcards and audio. Plus learn on the go with the Pearson+ app.
Your eTextbook subscription gives you access for 4 months. You can make a one‑time payment for the initial 4‑month term or pay monthly. If you opt for monthly payments, we will charge your payment method each month until your 4‑month term ends. You can turn on auto‑renew in My account at any time to continue your subscription before your 4‑month term ends.
When you purchase an eTextbook subscription, it will last 4 months. You can renew your subscription by selecting Extend subscription on the Manage subscription page in My account before your initial term ends.
If you extend your subscription, we'll automatically charge you every month. If you made a one‑time payment for your initial 4‑month term, you'll now pay monthly. To make sure your learning is uninterrupted, please check your card details.
To avoid the next payment charge, select Cancel subscription on the Manage subscription page in My account before the renewal date. You can subscribe again in the future by purchasing another eTextbook subscription.
Channels is a video platform with thousands of explanations, solutions and practice problems to help you do homework and prep for exams. Videos are personalized to your course, and tutors walk you through solutions. Plus, interactive AI‑powered summaries and a social community help you better understand lessons from class.
Channels is an additional tool to help you with your studies. This means you can use Channels even if your course uses a non‑Pearson textbook.
When you choose a Channels subscription, you're signing up for a 1‑month, 3‑month or 12‑month term and you make an upfront payment for your subscription. By default, these subscriptions auto‑renew at the frequency you select during checkout.
When you purchase a Channels subscription it will last 1 month, 3 months or 12 months, depending on the plan you chose. Your subscription will automatically renew at the end of your term unless you cancel it.
We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details.