Linear Algebra with Applications
Second Edition ©2017 Jeffrey Holt Formats: Achieve, E-book, Print
As low as C$45.99
As low as C$45.99
- Product Overview
- Content Material
- Assessment
- Teaching Resources
- Reports and Insights
- Support and Services
Authors
-
Jeffrey Holt
Jeff Holt has a B.A. from Humboldt State University and a Ph.D. from the University of Texas. He has been teaching mathematics for over 20 years, the last eleven at the University of Virginia. He currently has a joint appointment in the Department of Mathematics and the Department of Statistics at UVA.During his career, Holt has won several awards for teaching. He has had NSF grants to support student math and science scholarships, the implementation of a computer-based homework system, and the development of an innovative undergraduate number theory course which later was turned into the text, Discovering Number Theory, coauthored with John Jones. In his spare time he enjoys lowering the value of his house with do-it-yourself home-improvement projects.
Table of Contents
1. Systems of Linear Equations
1.1 Lines and Linear Equations
1.2 Linear Systems and Matrices
1.3 Applications of Linear Systems
1.4 Numerical Solutions
2. Euclidean Space
2.1 Vectors
2.2 Span
2.3 Linear Independence
3. Matrices
3.1 Linear Transformations
3.2 Matrix Algebra
3.3 Inverses
3.4 LU Factorization
3.5 Markov Chains
4. Subspaces
4.1 Introduction to Subspaces
4.2 Basis and Dimension
4.3 Row and Column Spaces
4.4 Change of Basis
5. Determinants
5.1 The Determinant Function
5.2 Properties of the Determinant
5.3 Applications of the Determinant
6. Eigenvalues and Eigenvectors
6.1 Eigenvalues and Eigenvectors
6.2 Diagonalization
6.3 Complex Eigenvalues and Eigenvectors
6.4 Systems of Differential Equations
6.5 Approximation Methods
7. Vector Spaces
7.1 Vector Spaces and Subspaces
7.2 Span and Linear Independence
7.3 Basis and Dimension
8. Orthogonality
8.1 Dot Products and Orthogonal Sets
8.2 Projection and the Gram-Schmidt Process
8.3 Diagonalizing Symmetric Matrices and QR Factorization
8.4 The Singular Value Decomposition
8.5 Least Squares Regression
9. Linear Transformations
9.1 Definition and Properties
9.2 Isomorphisms
9.3 The Matrix of a Linear Transformation
9.4 Similarity
10. Inner Product Spaces
10.1 Inner Products
10.2 The Gram-Schmidt Process Revisited
10.3 Applications of Inner Products
11. Additional Topics and Applications
11.1 Quadratic Forms
11.2 Positive Definite Matrices
11.3 Constrained Optimization
11.4 Complex Vector Spaces
11.5 Hermitian Matrices
Glossary
Answers to Selected Exercises
Index
Product Updates
Achieve is the culmination of years of development work put toward creating the most powerful online learning tool for calculus students. It houses all of our renowned assessments, multimedia assets, e-books, and instructor resources in a powerful new platform.
Achieve supports educators and students throughout the full range of instruction, including assets suitable for pre-class preparation, in-class active learning, and post-class study and assessment. The pairing of a powerful new platform with outstanding content provides an unrivalled learning experience.
Highlights in Achieve include:
- Homework: Achieve's proprietary grading algorithm combines our homegrown parser and the computer algebra system, SymPy, to accept every valid equivalent answer and to trigger warnings for answers entered in an incorrect format. Detailed feedback and fully worked solutions provide in-question guidance for students as they solve. Homework is easy to format for students by using our intuitive Math Palette, and it is easy to edit for instructors using Macmillan's built-in question editor.
- LearningCurve adaptive quizzing, which offers individualized question sets and feedback for each student based on their correct and incorrect responses and links directly to the ebook.
- Easy integration and gradebook sync with iClicker classroom engagement solutions that promote in-class activities and participation through instantaneous student response.
- Simple integration with your campus LMS and availability through Inclusive Access programs.
- Instructor resources, including the test bank, lecture slides, and Maple, MATLAB, and Mathematica Manuals.
Features of this Edition Include:
• Focusing on Applications provides an understanding of why a topic is of interest and motivates students to engage with the instruction.
• Extensive Exercise Sets cover a wide range of types (from computational to conceptual to proofs) and difficulty levels.
• Additional Representative Examples reinforce students’ learning by going beyond the initial examples used to introduce or explain a topic.
• Integration of Computer Algebra Systems assist students with Mathematica, Maple, and MatLab.
• Coverage of Numerical Methods throughout the text shows students how solving linear algebra problems would work in the real world and make students aware of how real numbers would be used.
Authors
-
Jeffrey Holt
Jeff Holt has a B.A. from Humboldt State University and a Ph.D. from the University of Texas. He has been teaching mathematics for over 20 years, the last eleven at the University of Virginia. He currently has a joint appointment in the Department of Mathematics and the Department of Statistics at UVA.During his career, Holt has won several awards for teaching. He has had NSF grants to support student math and science scholarships, the implementation of a computer-based homework system, and the development of an innovative undergraduate number theory course which later was turned into the text, Discovering Number Theory, coauthored with John Jones. In his spare time he enjoys lowering the value of his house with do-it-yourself home-improvement projects.
Table of Contents
1. Systems of Linear Equations
1.1 Lines and Linear Equations
1.2 Linear Systems and Matrices
1.3 Applications of Linear Systems
1.4 Numerical Solutions
2. Euclidean Space
2.1 Vectors
2.2 Span
2.3 Linear Independence
3. Matrices
3.1 Linear Transformations
3.2 Matrix Algebra
3.3 Inverses
3.4 LU Factorization
3.5 Markov Chains
4. Subspaces
4.1 Introduction to Subspaces
4.2 Basis and Dimension
4.3 Row and Column Spaces
4.4 Change of Basis
5. Determinants
5.1 The Determinant Function
5.2 Properties of the Determinant
5.3 Applications of the Determinant
6. Eigenvalues and Eigenvectors
6.1 Eigenvalues and Eigenvectors
6.2 Diagonalization
6.3 Complex Eigenvalues and Eigenvectors
6.4 Systems of Differential Equations
6.5 Approximation Methods
7. Vector Spaces
7.1 Vector Spaces and Subspaces
7.2 Span and Linear Independence
7.3 Basis and Dimension
8. Orthogonality
8.1 Dot Products and Orthogonal Sets
8.2 Projection and the Gram-Schmidt Process
8.3 Diagonalizing Symmetric Matrices and QR Factorization
8.4 The Singular Value Decomposition
8.5 Least Squares Regression
9. Linear Transformations
9.1 Definition and Properties
9.2 Isomorphisms
9.3 The Matrix of a Linear Transformation
9.4 Similarity
10. Inner Product Spaces
10.1 Inner Products
10.2 The Gram-Schmidt Process Revisited
10.3 Applications of Inner Products
11. Additional Topics and Applications
11.1 Quadratic Forms
11.2 Positive Definite Matrices
11.3 Constrained Optimization
11.4 Complex Vector Spaces
11.5 Hermitian Matrices
Glossary
Answers to Selected Exercises
Index
Product Updates
Achieve is the culmination of years of development work put toward creating the most powerful online learning tool for calculus students. It houses all of our renowned assessments, multimedia assets, e-books, and instructor resources in a powerful new platform.
Achieve supports educators and students throughout the full range of instruction, including assets suitable for pre-class preparation, in-class active learning, and post-class study and assessment. The pairing of a powerful new platform with outstanding content provides an unrivalled learning experience.
Highlights in Achieve include:
- Homework: Achieve's proprietary grading algorithm combines our homegrown parser and the computer algebra system, SymPy, to accept every valid equivalent answer and to trigger warnings for answers entered in an incorrect format. Detailed feedback and fully worked solutions provide in-question guidance for students as they solve. Homework is easy to format for students by using our intuitive Math Palette, and it is easy to edit for instructors using Macmillan's built-in question editor.
- LearningCurve adaptive quizzing, which offers individualized question sets and feedback for each student based on their correct and incorrect responses and links directly to the ebook.
- Easy integration and gradebook sync with iClicker classroom engagement solutions that promote in-class activities and participation through instantaneous student response.
- Simple integration with your campus LMS and availability through Inclusive Access programs.
- Instructor resources, including the test bank, lecture slides, and Maple, MATLAB, and Mathematica Manuals.
Features of this Edition Include:
• Focusing on Applications provides an understanding of why a topic is of interest and motivates students to engage with the instruction.
• Extensive Exercise Sets cover a wide range of types (from computational to conceptual to proofs) and difficulty levels.
• Additional Representative Examples reinforce students’ learning by going beyond the initial examples used to introduce or explain a topic.
• Integration of Computer Algebra Systems assist students with Mathematica, Maple, and MatLab.
• Coverage of Numerical Methods throughout the text shows students how solving linear algebra problems would work in the real world and make students aware of how real numbers would be used.
Now available with Achieve, Holt's Linear Algebra with Applications, Second Edition, blends computational and conceptual topics to prepare students for the rigors of conceptual thinking in an abstract setting. The early treatment of conceptual topics in the context of Euclidean space gives students more time, and a familiar setting, in which to absorb them. This organization also makes it possible to treat eigenvalues and eigenvectors earlier than in most texts. Abstract vector spaces are introduced later, once students have developed a solid conceptual foundation.
Concepts and topics are frequently accompanied by applications to provide context and motivation. Because many students learn by example, Linear Algebra with Applications provides a large number of representative examples, over and above those used to introduce topics. Select exercises can be assigned online in Macmillan's Achieve platform, which provides a flexible, customizable courseware that enhances the trusted content of the text.
Success Stories
Here are a few examples of how Achieve has helped instructors like you improve student preparedness, enhance their sense of belonging, and achieve course goals they set for themselves.
Prof. Kiandra Johnson, Spelman College
See how the resources in Achieve help you engage students before, during, and after class.
Prof. Jennifer Duncan
Use diagnostics in Achieve for a snapshot into cognitive and non-cognitive factors that may impact your students’ preparedness.
Prof. Ryan Elsenpeter
Here’s why educators who use Achieve would recommend it to their peers.
Looking for instructor resources like Test Banks, Lecture Slides, and Clicker Questions? Request access to Achieve to explore the full suite of instructor resources.
Instructor Resources
Instructor Resources
Access Test Bank
You need to sign in as a verified instructor to access the Test Bank.
Test Bank for Linear Algebra with Applications
Jeffrey Holt | Second Edition | ©2017 | ISBN:9781319057701
Download Resources
You need to sign in to unlock your resources.
You've selected:
Click the E-mail Download Link button and we'll send you an e-mail at with links to download your instructor resources. Please note there may be a delay in delivering your e-mail depending on the size of the files.
Warning! These materials are owned by Macmillan Learning or its licensors and are protected by copyright laws in the United States and other jurisdictions. Such materials may include a digital watermark that is linked to your name and email address in your Macmillan Learning account to identify the source of any materials used in an unauthorised way and prevent online piracy. These materials are being provided solely for instructional use by instructors who have adopted Macmillan Learning’s accompanying textbooks or online products for use by students in their courses. These materials may not be copied, distributed, sold, shared, posted online, or used, in print or electronic format, except in the limited circumstances set forth in the Macmillan Learning Terms of Use and any other reproduction or distribution is illegal. These materials may not be made publicly available under any circumstances. All other rights reserved. For more information about the use of your personal data including for the purposes of anti-piracy enforcement, please refer to Macmillan Learning's.Privacy Notice
Thank you!
Your download request has been received and your download link will be sent to .
Please note you could wait up to 30 to 60 minutes to receive your download e-mail depending on the number and size of the files. We appreciate your patience while we process your request.
Check your inbox, trash, and spam folders for an e-mail from InstructorResources@macmillan.com.
If you do not receive your e-mail, please visit macmillanlearning.com/support.
FAQs
-
-
Are you a campus bookstore looking for ordering information?
MPS Order Search Tool (MOST) is a web-based purchase order tracking program that allows customers to view and track their purchases. No registration or special codes needed! Just enter your BILL-TO ACCT # and your ZIP CODE to track orders.
Canadian Stores: Please use only the first five digits/letters in your zip code on MOST.
Visit MOST, our online ordering system for booksellers: https://tracking.mpsvirginia.com/Login.aspx
Learn more about our Bookstore programs here: https://www.macmillanlearning.com/college/us/contact-us/booksellers
-
-
-
Our courses currently integrate with Canvas, Blackboard (Learn and Ultra), Brightspace, D2L, and Moodle. Click on the support documentation below to find out more details about the integration with each LMS.
Integrate Macmillan courses with Blackboard
Integrate Macmillan courses with Canvas
-
-
-
If you’re a verified instructor, you can request a free sample of our courseware, e-book, or print textbook to consider for use in your courses. Only registered and verified instructors can receive free print and digital samples, and they should not be sold to bookstores or book resellers. If you don't yet have an existing account with Macmillan Learning, it can take up to two business days to verify your status as an instructor. You can request a free sample from the right side of this product page by clicking on the "Request Instructor Sample" button or by contacting your rep. Learn more.
-
-
-
Sometimes also referred to as a spiral-bound or binder-ready textbook, loose-leaf textbooks are available to purchase. This three-hole punched, unbound version of the book costs less than a hardcover or paperback book.
-
-
-
Achieve (full course) includes our complete e-book, as well as online quizzing tools, multimedia assets, and iClicker active classroom manager.
Most Achieve Essentials courses do not include our e-books and adaptive quizzing.
Visit our comparison table for details: https://www.macmillanlearning.com/college/us/digital/achieve/compare
-
-
-
Achieve (full course) includes our complete e-book, as well as online quizzing tools, multimedia assets, and iClicker active classroom manager.
Achieve Read & Practice only includes our e-book and adaptive quizzing, and does not include instructor resources and assignable assessments. Read & Practice does integrate with LMS.
Visit our comparison table for details: https://www.macmillanlearning.com/college/us/digital/achieve/compare
-
-
-
We can help! Contact your representative to discuss your specific needs for your course. If our off-the-shelf course materials don’t quite hit the mark, we also offer custom solutions made to fit your needs.
-
ISBN:9781319585013
Access all your course tools in one place!
ISBN:9781319057695
Take notes, add highlights, and download our mobile-friendly e-books.
ISBN:9781319108106
Online tools for teaching and learning
ISBN:9781464193699
Save money with our hole-punched, loose-leaf textbook.
ISBN:9781464193347
Read and study old-school with our bound texts.
ISBN:9781319057688
Read and study old-school with our bound texts.
FAQs
-
-
Are you a campus bookstore looking for ordering information?
MPS Order Search Tool (MOST) is a web-based purchase order tracking program that allows customers to view and track their purchases. No registration or special codes needed! Just enter your BILL-TO ACCT # and your ZIP CODE to track orders.
Canadian Stores: Please use only the first five digits/letters in your zip code on MOST.
Visit MOST, our online ordering system for booksellers: https://tracking.mpsvirginia.com/Login.aspx
Learn more about our Bookstore programs here: https://www.macmillanlearning.com/college/us/contact-us/booksellers
-
-
-
Our courses currently integrate with Canvas, Blackboard (Learn and Ultra), Brightspace, D2L, and Moodle. Click on the support documentation below to find out more details about the integration with each LMS.
Integrate Macmillan courses with Blackboard
Integrate Macmillan courses with Canvas
-
-
-
If you’re a verified instructor, you can request a free sample of our courseware, e-book, or print textbook to consider for use in your courses. Only registered and verified instructors can receive free print and digital samples, and they should not be sold to bookstores or book resellers. If you don't yet have an existing account with Macmillan Learning, it can take up to two business days to verify your status as an instructor. You can request a free sample from the right side of this product page by clicking on the "Request Instructor Sample" button or by contacting your rep. Learn more.
-
-
-
Sometimes also referred to as a spiral-bound or binder-ready textbook, loose-leaf textbooks are available to purchase. This three-hole punched, unbound version of the book costs less than a hardcover or paperback book.
-
-
-
Achieve (full course) includes our complete e-book, as well as online quizzing tools, multimedia assets, and iClicker active classroom manager.
Most Achieve Essentials courses do not include our e-books and adaptive quizzing.
Visit our comparison table for details: https://www.macmillanlearning.com/college/us/digital/achieve/compare
-
-
-
Achieve (full course) includes our complete e-book, as well as online quizzing tools, multimedia assets, and iClicker active classroom manager.
Achieve Read & Practice only includes our e-book and adaptive quizzing, and does not include instructor resources and assignable assessments. Read & Practice does integrate with LMS.
Visit our comparison table for details: https://www.macmillanlearning.com/college/us/digital/achieve/compare
-
-
-
We can help! Contact your representative to discuss your specific needs for your course. If our off-the-shelf course materials don’t quite hit the mark, we also offer custom solutions made to fit your needs.
-
Linear Algebra with Applications
Now available with Achieve, Holt's Linear Algebra with Applications, Second Edition, blends computational and conceptual topics to prepare students for the rigors of conceptual thinking in an abstract setting. The early treatment of conceptual topics in the context of Euclidean space gives students more time, and a familiar setting, in which to absorb them. This organization also makes it possible to treat eigenvalues and eigenvectors earlier than in most texts. Abstract vector spaces are introduced later, once students have developed a solid conceptual foundation.
Concepts and topics are frequently accompanied by applications to provide context and motivation. Because many students learn by example, Linear Algebra with Applications provides a large number of representative examples, over and above those used to introduce topics. Select exercises can be assigned online in Macmillan's Achieve platform, which provides a flexible, customizable courseware that enhances the trusted content of the text.
These materials are owned by Macmillan Learning or its licensors and are protected by United States copyright law. They are being provided solely for evaluation purposes only by instructors who are considering adopting Macmillan Learning's textbooks or online products for use by students in their courses. These materials may not be copied, distributed, sold, shared, posted online, or used, in print or electronic format, except in the limited circumstances set forth in the Macmillan Learning Terms of Use and any other reproduction or distribution is illegal. These materials may not be made publicly available under any circumstances. All other rights reserved. © 2020 Macmillan Learning.
BY CLICKING ON THE SAMPLE CHAPTER LINK BELOW, YOU ARE AGREEING TO USE THESE MATERIALS ONLY IN ACCORDANCE WITH MACMILLAN LEARNING'S TERMS OF USE.
Select a file to view:
Sample Achieve