Digital library
Textbooks, references and open learning resources.
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A First Journey Through Linear Algebra
LibreTexts
In the contents: 1.02: Systems of Equations Algebraic Procedures · 4.02: Vector Algebra · 4.10: Spanning Linear Independence and Basis in R
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Differential Equations and Linear Algebra
Steven Zook · Reedley College
In the contents: 1.02: Systems of Equations Algebraic Procedures · 4.02: Vector Algebra · 4.07: Spanning Linear Independence and Basis in R
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Understanding Linear Algebra
David Austin · Grand Valley State University
In the contents: 1.02: Finding solutions to systems of linear equations · 02: Vectors matrices and linear combinations · 2.01: Vectors and linear combinations
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Math 26: Introduction to Linear Algebra
Kenn Huber · Irvine Valley College
In the contents: 01: Systems of Linear Equations · 1.01: Systems of Linear Equations · 1.3.01: Vector Algebra and Geometry
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Linear Algebra
David Cherney, Tom Denton, & Andrew Waldron · University of California, Davis
In the contents: 01: What is Linear Algebra · 1.02: What Are Linear Functions · 02: Systems of Linear Equations
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Applied Linear Algebra and Differential Equations
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
In the contents: 02: II. Linear Algebra · 02: Systems of Linear Equations · 3.02: Linear Independence
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Linear Algebra and Its Application
Amira Alkeswani · Cañada College
In the contents: 01: Solving Systems of Linear Equations · 1.01: Systems of Linear Equations · 4.06: Linear Independence
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Linear Algebra
Isaiah Lankham, Bruno Nachtergaele, & Anne Schilling · University of California, Davis
In the contents: 01: What is linear algebra · 03: 3. The fundamental theorem of algebra and factoring polynomials · 3.01: The Fundamental Theorem of Algebra
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Interactive Linear Algebra
Dan Margalit & Joseph Rabinoff · Georgia Institute of Technology
In the contents: 01: Systems of Linear Equations- Algebra · 1.01: Systems of Linear Equations · 02: Systems of Linear Equations- Geometry
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Linear Algebra (Math 3A UCI)
Kenn Huber · University of California Irvine
In the contents: 01: Systems of Linear Equations · 1.01: Systems of Linear Equations · 1.3.01: Vector Algebra and Geometry
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Linear Algebra: A First Course
Doli Bambhania, Fatemeh Yarahmadi and Bill Wilson · De Anza College
In the contents: 1.01: Systems of Linear Equations · 4.05: Linear Independence · 05: Linear Transformations
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Linear Algebra (MTH 288)
Sara Froehlich & Todd Romutis · Cleveland State University
In the contents: 01: Systems of Linear Equations · 1.01: Prelude to Systems of Linear Equations · 02: Matrix Algebra
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A First Course in Linear Algebra
Ken Kuttler · Brigham Young University
In the contents: 1.02: Systems of Equations Algebraic Procedures · 4.02: Vector Algebra · 4.10: Spanning Linear Independence and Basis in R
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Linear Algebra with Applications
W. Keith Nicholson · University of Calgary
In the contents: 01: Systems of Linear Equations · 1.00: Prelude to Systems of Linear Equations · 02: Matrix Algebra
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Differential Equations and Linear Algebra
Anup Lamichhane · Oho Northern University
In the contents: 1.05: Linear equations and the integrating factor · 1.09: Existence and Uniqueness of Solutions of Nonlinear Equations · 1.9E: Existence and Uniqueness of Solutions of Nonlinear Equations (Exercises)
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Math 287 Differential Equations and Linear Algebra
SeanS Smith · Santa Ana College
In the contents: 2.02: Systems of Equations Algebraic Procedures · 5.02: Vector Algebra · 5.10: Spanning Linear Independence and Basis in R
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Math C285: Linear Algebra and Diffrential Equations (Tran)
Chau D. Tran · Coastline College
In the contents: 1.02: Systems of Equations Algebraic Procedures · 2.02: Systems of Equations Algebraic Procedures · 4.02: Vector Algebra
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Differential Equations (No Linear Algebra Required)
Marilena Beckstrand, Adam Manriquez & Emad Shonoda · Mt. San Jacinto College
In the contents: 2.04: First Order Linear Differential Equations · 2.4E: First Order Linear Differential Equations (Exercises) · 04: Higher Order Linear ODEs
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MAT 04C Linear Algebra
Zoya Kravets · Mission College
In the contents: 01: Systems of Linear Equations · 1.01: Systems of Linear Equations · 1.08: Applications of Linear Systems
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Tea Time Linear Algebra Explorations in Mathematics
Leon Brin · Leon Q. Brin · 2022
This creation is an all-purpose open source textbook for linear algebra classes of all ilks. Inside you will find a complete and engaging introduction to linear algebra, making it a perfect primary resource for classroom study. Take a ride through the landscape of linear algebra from basic mechanics through inner product spaces. 386 pages Over 1000 exercises with over 200 detailed solutions and hundreds more answers Over 250 illustrations Nearly 150 live SageMathCell links Open source Now with online homework and course management at MyOpenMath! Presented in a conversational style with plenty of motivation, illustrations, applications, and theory, this text should be a comfortable read for most beginning mathematicians. Readers and instructors alike will appreciate the numerous detailed exercise solutions accompanying each section. Examine the distribution of bicycles in the Capital Bikeshare system, model an un-preheated oven baking brownies, reproduce sounds via Fourier series, explore reptiles like the one decorating this cover, and more. Read proofs of the rank and nullity theorem, the determinant expansion formula, existence and uniqueness of solutions of linear systems and others. It's all here in Tea Time Linear Algebra.