Linear algebra cornell

Overview: This course will serve as a detailed introduction to computer vision. The emphasis will be on covering the fundamentals which underly both computer vision research and applications. A tentative list of topics is below: Geometry / Physics of image formation. Properties of images and basic image processing. 3D reconstruction.

Unit 2: Matrix transformations. Functions and linear transformations Linear transformation examples Transformations and matrix multiplication. Inverse functions and transformations Finding inverses and determinants More determinant depth Transpose of a matrix. Unit 3: Alternate coordinate systems (bases) Orthogonal complements Orthogonal ...We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition ...Once you have completed Linear Algebra and Multivariable Calculus, the Math major has several different concentrations ( https://math.cornell.edu/major) that you can pick. In that regard, the Math major is pretty flexible; you can be as theoretical or applied as you want. My impression is that most math majors are actually CS + Math double ...Welcome. If you have a copy of Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach, we invite you to write [email protected] with ``calculus book readers'' as the subject, to let us know what math course you are taking, or, if you are not using the book in a formal course, what your connection to mathematics is.2940 is more application based, 2210 is more proof based. If you want a real linalg course, take 2230 (in fall), but it is pretty intense. If not, either 2940 or 2210 will probably be fine for your purposes as a CS major. As others have said, the cas sequence is probably more appropriate for what you want.

In preparation for economics graduate work, at a minimum, you should complete (1) MATH 1110, (2) MATH 1120, (3) a course on linear algebra, (4) a course on multivariable calculus, and (5) a course on analysis. The first four courses are discussed in the section above. For analysis, there are two main options:The 14 lectures will cover the material as broken down below: 1-3: Linear Systems, Matrix Algebra. 3-4: Inverses and Transposes. 4-5: Vector Spaces and Subspaces. 6: Bases. 7: Dimension. 8: Dimension and Subspaces. 9-10: Linear Maps.Cornell University, B07 Day Hall. Ithaca, NY 14853. ‌ Get Directions. ‌ [email protected]. ‌(607) 255-4232. (607) 255-6262. If you have a disability and are having trouble accessing information on this website or need materials in an alternate format, contact for assistance. Cornell University. Courses of Study 2017-2018.Linear Algebra is a foundational subject in Mathematics which is of fundamental importance in the development of almost every branch of Mathematics, Theoretical Physics and Computer Science. A good understanding of the subject is also crucial to the study of most Engineering disciplines and many problems in Social Sciences. Linear Algebra can ...I...have...a confession...to make: I think that when you wedge ellipses into texts, you unintentionally rob your message of any linear train of thought. I...have...a confession...t...Linear Algebra Review September 1, 2017 9 / 33. Column Rank. De nition. The column rank of a matrix is the number of linearly independent columns in a matrix. Example. Each column in matrix A is linearly independent, so row rank(A) = 3. The rst two columns in matrix B are linearly independent, so row rank(B) = 2.About the Class Roster. Spring 2021 - MATH 2940 - Linear algebra and its applications. Topics include matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and inner product spaces; applications include brief introductions to difference equations, Markov chains, and systems of linear ordinary differential equations.Linear algebra. (Cornell MATH 2210, MATH 4310 or equivalent) Statistics and probability. (Cornell STSCI 2100 or equivalent) Instructors# These lecture notes accompany CS5785 Applied Machine Learning at Cornell University and Cornell Tech, as well as the open online version of that course. They are based on materials developed at Cornell by:

This survey describes probabilistic algorithms for linear algebra computations, such as factorizing matrices and solving linear systems. It focuses on techniques that have a proven track record for real-world problem instances. The paper treats both the theoretical foundations of the subject and the practical computational issues. Topics covered include norm estimation; matrix approximation by ...Linear Algebra was required for me to transfer from community college for pretty much every school I was interested in, so I imagine it is a very common pre-req. I would actually say that linear algebra is somewhat useful. It is of course only really useful in scientific disciplines, and graphical ones. It was especially important to understand ...• Linear Systems Basics • Matlab and Linear Algebra Ecology of Linear Systems • Linear Systems are found in every habitat: - simple algebra - solutions to ODEs & PDEs - statistics (especially, least squares) • If you can formulate your problem as linear system, it will be easy to solve on a computerLinear Algebra. MATH 4310, Fall 2020. Home; Info; Grading and Exams; Lectures . The topics in the following syllabus are tentative, and might change. Check back here often for new versions! Version 1.5 (Last changed 11/6/2020) Lec: Date: Topic: Read: Problem sets: 1: …

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School of Electrical and Computer Engineering, Cornell University, Ithaca, NY fyh457, yd383, eu49, [email protected] ... This paper proposes GraphLily, a Graph linear algebra overlay, to provide efficient and practical acceleration of graph processing workloads on HBM-equipped FPGAs. An overlay refers to a virtualSo linear algebra was probably the sibgle most important class to all of that. I've taken numerical linear algebra, numerica odes, and numerical pdes which all rely heavily on linear algebra. All of them have been filled with examples and applications from engineering. The important bits from linear algebra (and the more theoretical second term ...rwaterbender. •. You may want to consider 2230 rather than 2210 if you really want to challenge yourself. This is the most difficult and theoretical linalg course at the 2 level. 2940 is mlt a terribly difficult course, but it is more theoretical than 2930 by far so it may not be such a bad option. I think really any of them would be fine ...MATH 2230–MATH 2240 provides an integrated treatment of linear algebra and multivariable calculus at a higher theoretical level than in MATH 2210–MATH 2220. View Enrollment Information. Enrollment Information. ... Additional detail on Cornell University's diverse academic programs and resources can be found in the Courses of Study.

MATH 2210-2220 is good preparation to begin a math major. Half of Cornell math majors take this sequence. MATH 2230-2240: Theoretical Linear Algebra and Calculus. MATH 2230-2240 is “integrated” in the sense that both linear algebra and multivariable calculus are taught in each semester, rather than covered in separate semesters (as in 2210 ... "abstract algebra", Michael Artin's text [1] is recommended, since he uses linear algebra as the first building block to abstract algebra. Linear algebra is very useful in studying advanced geometry. An excellent book that quite unusually combines the linear algebra with the geometry is Shafare-vich. Even more advanced is Manin's book."abstract algebra", Michael Artin's text [1] is recommended, since he uses linear algebra as the first building block to abstract algebra. Linear algebra is very useful in studying advanced geometry. An excellent book that quite unusually combines the linear algebra with the geometry is Shafare-vich. Even more advanced is Manin's book.In power supply systems based on alternating current (AC) -- such as the main power distribution network from electric utilities -- non-linear loads can feed some amount of power b...A printable version of Linear Algebra is available in two parts. Part 1 edit contains everything from the beginning of the book through Chapter II. Part 2 edit contains everything from Chapter III through the end of the book. This book discusses proof-based linear algebra. The book was designed specifically for students who have not previously ...to prove linear independence in (a), and they span the range of Sbecause of the decomposition 2a b+ c b+ c 2d = 2a 1 0 0 0 + (b+ c) 0 1 1 0 + 2d 0 0 0 1 : 7. Prove that the determinant of an n nmatrix Ais the product of the eigenvalues (counted according to their algebraic multiplicities). Hint: Write. the characteristic polynomial asThis includes work in the areas of computational quantum chemistry, numerical linear algebra, and spectral clustering. Giulia Guidi works in the field of high-performance computing for large-scale computational sciences (in particular, computational biology). Her research involves the development of algorithms and software infrastructures on ...4 days ago · Cornell University, B07 Day Hall. MATH 4310 - Linear Algebra. (MQR-AS) Fall, spring. 4 credits. Student option grading. Forbidden Overlap: Due to an overlap in content, students will receive credit for only one course in the following group: MATH 4310, MATH 4315 , MATH 4330 . Prerequisite: MATH 2210 , MATH 2230 , MATH 2310 , or MATH 2940 .

Course description. Linear algebra and its applications. Topics include matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and inner …

Linear algebra course by Strang Portions of this course will utilize your knowledge of linear algebra. If you feel you need additional preparation, or would like to revisit the topic, you may find Gilbert Strangs linear algebra course quite useful. ... Cornell University provides a comprehensive set of mental health resources and the student ...Introduction to linear algebra, including the study of vector spaces, linear transformations, matrices, and systems of linear equations. Additional topics are …basis of see Basis. definition of Definition. is a subspace Paragraph. is row space of transpose Paragraph. of an orthogonal projection Proposition. orthogonal complement of Proposition Important Note. range of a transformation Important Note. versus the solution set Subsection. Column span see Column space.Text: Hubbard & Hubbard, Vector Calculus, Linear Algebra, and Differential Forms, 3rd Edition. You can buy it from MatrixEditions or the Cornell bookstore. A Student's Solutions Manual for the third edition is now available! You can pick up a copy at the Cornell bookstore, or online at MatrixEditions. In the latter case, you can have a $5 ...Add a Comment. Sort by: penguinland. •. Linear algebra is essential for machine learning, computer vision, and graphics. I haven't used differential equations since college (and even in college, knowing linear algebra was very useful in understanding systems of differential equations). I've barely used calculus since then. About the Class Roster. Fall 2020 - MATH 2210 - Topics include vector algebra, linear transformations, matrices, determinants, orthogonality, eigenvalues, and eigenvectors. Applications are made to linear differential or difference equations. The lectures introduce students to formal proofs. Students are required to produce some proofs in their ... MATH 4330 - Honors Linear Algebra // fall 2023. Roman, Steven, Advanced Linear Algebra, 3rd edition, Springer, 2007 (ISBN: 978--387-72828-5) — free e-book through the Cornell Math Library. MATH 4340 - Honors Introduction to Algebra // spring 2024Chase Vogeli (email:[email protected]) O ce hours: 10-11am Thursday, 3-4pm Thursday Mark Walth (email: [email protected]) O ce hours: 1-2pm Friday, 4:30-5:30 Sunday ... Prerequisite: MATH 2210 Linear Algebra. Forbidden Overlap: Due to an overlap in content, students will receive credit for only one course

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Linear Algebra with Applications. Fall, spring. 3 credits. Forbidden Overlap: Students may receive credit for only one course in the following group: MATH 2210, MATH 2230, MATH 2310, MATH 2940.Prerequisite: MATH 1110 or equivalent. Students who plan to major or minor in mathematics or take upper-level math courses should take MATH 2210, MATH ...Spring 2021 - MATH 4310 - Introduction to linear algebra, including the study of vector spaces, linear transformations, matrices, and systems of linear equations. Additional topics are quadratic forms and inner product spaces, canonical forms for various classes of matrices and linear transformations.In this course, you will learn to solve linear algebra problems in three or more dimensions and perform computations with matrices.You will perform computations that focus on solving problems in high dimension; that is, multiple dimensions. This course will provide you with the theory and activities to solidify the linear algebra foundation ...Topics include vector algebra, linear transformations, matrices, determinants, orthogonality, eigenvalues, and eigenvectors. Applications are made to linear differential or difference equations. The lectures introduce students to formal proofs.The GraphBLAS interfaces formalize this "graph algorithms as linear algebra" way of thinking. There are lots of advantages to this: one can get different algorithms by playing with associativity and distributivity, and build on top of high-performance linar-algebra-style building blocks that have been tuned for different types of architectures.Book: Hubbard and Hubbard Vector calculus, linear algebra and differential forms 4th edition Scroll down for info on the final. As with the midterm, you can bring in one double-sided sheet of handwritten notes. (Written by you!) The midterm was Thursday Oct 9, in class. Here it is, with answers. Office hours during the term (in my office, 515 ...We review by working the Spring 2022 Final Exam for Linear Algebra.pdf is here: https://drive.google.com/file/d/14NBTn2QUIwoSNVHTr9kzu1m90oHOwTLU/view?usp=sh... 2.(20 points) Solving Systems of Linear Equations (Tip: These are long-ish calculations; be smart about how you proceed and be neat and organized with your work. You almost certainly want to start on scratch paper.) (a)(10 points) Find all solutions ~x = (x 1;x 2;x 3;x 4) to the following system of equations: x 1 + 2x 2 + x 3 + x 4 = 0 3x 1 ... Cornell University. 48 Documents. Go to course. 212. Itala Answer Key - Intro to Applied linear algebra textbook solutions. ... Itala Answer Key - Intro to Applied linear algebra textbook solutions. Linear Algebra For Engineers 100% (17) 3. SP2017 Prelim 2 Solutions. Linear Algebra For Engineers 100% (5) 136.Numerical linear algebra is really functional analysis but with the emphasis alw a ys on practical algorithmic ideas rather than mathematical tec hnicalities ... Cornell CS whose en th usiasm and advice o v er a p erio d of ten y ears guided the c hoice of topics and st yle presen tation Ab out sev en t y these studenLinear algebra and multivariable calculus can be taught using different approaches, so it is important to pay attention to course prerequisites. MATH 2210-2220 uses tools and techniques developed in linear algebra (MATH 2210, taken first) to develop multivariable and vector calculus (MATH 2220). ….

Here are my online notes for my Linear Algebra course that I teach here at Lamar University. Despite the fact that these are my "class notes", they should be accessible to anyone wanting to learn Linear Algebra or needing a refresher. These notes do assume that the reader has a good working knowledge of basic Algebra. This set CS 6241 Spring 2019. CS 6241: Numerical Methods for Data Science. Cornell University, Spring 2019. Lectures: 2:55 PM–4:10 PM, Tuesdays and Thursdays, 140 Bard Hall. Instructor: Austin Benson, Assistant Professor, Computer Science. Contact: [email protected]. Office hours: 1:30 PM–2:30 PM Tuesdays or by appointment, 413B Gates. Linear algebra at the level of MATH 2210 or 2940 or equivalent and a CS 1 course in any language. We will assume you remember your calculus and can pick up Julia. Recommended but not essential: either CS 3220 or one additional mathematics course numbered 3000 or above. ... (Cornell as a whole, CS as a department, and I as the course instructor ...Spring 2020 - MATH 2210 - Topics include vector algebra, linear transformations, matrices, determinants, orthogonality, eigenvalues, and eigenvectors. Applications are made to linear differential or difference equations. ... Additional detail on Cornell University's diverse academic programs and resources can be found in the Courses of …Applications include brief introductions to difference equations, Markov chains, and systems of linear ordinary differential equations. Due to an overlap in content, students will receive credit for only one course in the following group: MATH 2210, MATH 2230, MATH 2310, MATH 2940. Taking MATH 2930 and 2940 simultaneously is not recommended.Linear Algebra for CS major. For a CS major, is Math 1554 / linear algebra a prerequisite for a lot of the upcoming math courses along the way? If you click on each of the threads here, then under the "Required Courses" line there's a link to a PDF with a course pre-req flow chart. For example, here is the chart for the info internetworks thread.The Putnam exam tests originality, technical competence, and familiarity with elementary undergraduate mathematics. Most questions require only the standard concepts of calculus and linear algebra. The competition is open to any registered undergraduate in the U.S. or Canada. Cash prizes are awarded to the top ten students; a team is chosen ...MATH 2210 - Linear Algebra. Lay, Lay, and McDonald, Linear Algebra and its Applications, Pearson Education, 2016 (Edition: 5; ISBN: 978-0-321-98238-4). MATH 2220 - Multivariable Calculus. Lax and Terrell, Multivariable Calculus with Applications — available as a course packet at the Cornell Store. MATH 2230 - Theoretical Linear Algebra and ...The final exam will be held on December 10, at 7pm, in Malott 253. Practice final and solutions are available via the link below. Links. Homepage for another MATH 2310 class. For questions and comments email me [email protected] or call (607) 255-4640. Last modified: December 11, 2009.Numerical Linear Algebra (Sections I and II). D. Bindel's lecture notes on linear least squares. Lecture notes: Lecture 2; Jupyter notebook on linear least squares. Week 2 Lecture 3 (Tu 1/28): regularized linear least squares Topics: Tikhonov regularization / ridge regression, Lasso, pivoted QR Readings: Applied Numerical Linear Algebra ... Linear algebra cornell, We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition ..., This includes work in the areas of computational quantum chemistry, numerical linear algebra, and spectral clustering. Giulia Guidi works in the field of high-performance computing for large-scale computational sciences (in particular, computational biology). Her research involves the development of algorithms and software infrastructures on ..., Just as important as quality of life. At the end, they both required antipsychotics. Each had become unrecognizable to their families. On the day that Sandy Bem, a Cornell psycholo..., CS 6241 Spring 2019. CS 6241: Numerical Methods for Data Science. Cornell University, Spring 2019. Lectures: 2:55 PM–4:10 PM, Tuesdays and Thursdays, 140 Bard Hall. Instructor: Austin Benson, Assistant Professor, Computer Science. Contact: [email protected]. Office hours: 1:30 PM–2:30 PM Tuesdays or by appointment, 413B Gates., A matrix is a rectangular array of values. It can represent linear transformations or systems of linear equations. Every linear transformation can be associated with a matrix. When a vector is multiplied by this matrix, it results in a transformed vector. \mathbf {\vec {w}} w is the transformed vector., 1 Graphs and linear algebra Formally, an unweighted graph is G = (V;E), where E ˆ V V. Informally, V consists of things we want to model and E represents the relations between them. It is a very flexible representation: we use graphs to represent friend-ships between people, wires between routers, citations between papers, links, Factored form is defined as the simplest algebraic expression in which no common factors remain. Finding the factored form is useful in solving linear equations. Factored form may ..., Linear algebra. (Cornell MATH 2210, MATH 4310 or equivalent) Statistics and probability. (Cornell STSCI 2100 or equivalent) Course Content. Each lecture features executable Jupyter lecture notes and slides, as well as lecture videos on Youtube. We define algorithms in terms of probability and linear algebra, and we implement them in Python ..., and linear algebra. The motivation for doing this is not simply to save on tedium (although that would probably be reaso n enough). More importantly, since there is an enormous body of theory already developed around matrices and linear algebra, if we can cast our problem in this context, we inherit an enormous body on knowledge and tools for free., Numerical Linear Algebra (Sections I and II). D. Bindel's lecture notes on linear least squares. Lecture notes: Lecture 2; Jupyter notebook on linear least squares. Week 2 Lecture 3 (Tu 1/28): regularized linear least squares Topics: Tikhonov regularization / ridge regression, Lasso, pivoted QR Readings: Applied Numerical Linear Algebra ..., The future of gaming will make us more social, not less. This story is part of What Happens Next, our complete guide to understanding the future. Read more predictions about the Fu..., About the Class Roster. Spring 2021 - MATH 2940 - Linear algebra and its applications. Topics include matrices, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality and inner product spaces; applications include brief introductions to difference equations, Markov chains, and systems of linear ordinary differential equations., The project was initiated and supervised by Andy Ruina. Tex sources are available for experts. As Chapters 1, 3 , 4 were done by a one person and Chapters 2, 5, 6 were done by another person, they have organized their *.tex files differently. Hence, Chapters 1, 3, and 4 tex files are in one zip file per chapter while Chapter 2, 5, and 6 tex ..., The graduate program in the field of mathematics at Cornell leads to the Ph.D. degree, which takes most students five to six years of graduate study to complete. One feature that makes the program at Cornell particularly attractive is the broad range of interests of the faculty. The department has outstanding groups in the areas of algebra ..., I'm a rising sophomore and have taken linear algebra and multivariable calculus at another college (engineering version). I'm thinking of taking Math 4130-4140 this coming year, but I'm wondering what is taught in 2230-2240, since a lot of our peer institutions teach in their honors freshman sequences single/multivariable analysis, and it seems our math 4130/4140 do that., Book: Hubbard and Hubbard Vector calculus, linear algebra and differential forms 4th edition Scroll down for info on the final. As with the midterm, you can bring in one double-sided sheet of handwritten notes. (Written by you!) The midterm was Thursday Oct 9, in class. Here it is, with answers. Office hours during the term (in my office, 515 ..., Linear Algebra. Course information provided by the Courses of Study 2020-2021 . Introduction to linear algebra, including the study of vector spaces, linear …, On the other hand, I'd argue that linear algebra can be a great help in multivariable calculus and ODEs. I definitely recommend taking it first. For the record, I took multivariable calc, then ODEs concurrently with linear algebra when I was in your shoes. It is doable, but suboptimal. I think linear algebra first., Linear Algebra . Hi guys, I'm a CS major in CAS and I'll be taking Linear Algebra this coming semester. Is there a difference between the CAS Lin.Alg and the engineering one? ... The academic year 2019-20 saw Nerode's 60th year as an active faculty member at Cornell, which the university said was its longest such tenure ever. Reply, Math 2210, the standard introductory linear algebra course. Math 2230, essentially the honors version of 2210 and notoriously difficult. Math 2940, the "for engineers" version, meaning it is focused more on application rather than theory (i.e. more computation, less proof), In a note to staff, Brian Cornell said it was a "difficult" choice to pull Pride products: "We stand with you now and will continue to do so." Jump to Target CEO Brian Cornell is d..., These Cornell Notes are designed for Algebra 1. These notes will cover the following lessons:Part 14.1 Slope4.2 Writing Linear Equations Part 1 (Table & Verbal)4.3 Writing Linear Equations Part 2 (Graph)4.4 Changing to Slope-Intercept Form4.5 Changing to Standard Form4.6 Point-Slope Form4.7 Wri. 16., The Cornell University Courses of Study contains information primarily concerned with academic resources and procedures, college and department programs, interdisciplinary programs, and undergraduate and graduate course offerings of the university. ... MATH 2230-MATH 2240 provides an integrated treatment of linear algebra and multivariable ..., Students who are undecided about their future studies at Cornell, but think they may involve a substantial amount of math, can keep their options open by taking Calculus I (MATH 1110 or AP credit), Calculus II (MATH 1120, 1220, or AP credit), and Linear Algebra (MATH 2210). Linear Algebra is a pre-requisite for Multivariable Calculus (MATH 2220 ..., Fact 1: For any matrices A, B, C of the same size: ( A + B )· C = A · C + B · C, and C · ( A + B) = C · A + C · B . One can observe that there is some sort of similarity between matrices A and C in Problem 2. above. The similarity comes from the fact that the entry on row i and column j in matrix A is equal to the entry on row j and ..., Publications. Vector Calculus, Linear Algebra and Differential Forms, A Unified Approach (with Barbara Burke Hubbard), 2nd edition, Prentice Hall, 2002.; Student Solution Manual to Accompany Vector Calculus, Linear Algebra and Differential Forms, A Unified Approach; Matrix Editions (with Barbara Burke Hubbard), 2002.; Differential Equations, A …, MATH 2940 and MATH 2210 are similar enough that whether MATH 2940 > MATH 2210 or vice versa is down to the instructors and you. For example, it depends on (1) The particular way the course is organized that semester, (2) The way that you like to learn (MATH 2210 is a little more theoretical, MATH 2940 is a little more application-driven), (3) Your goals for the future (MATH 2940 is focused on ..., Interpretation: transformation changes representation of point from one basis to another. "Frame to canonical" matrix has frame in columns. takes points represented in frame. represents them in canonical basis. e.g. [0 0], [1 0], [0 1] Seems backward but bears thinking about. Affine change of coordinates., 6 days ago · MATH 2230– MATH 2240 provides an integrated treatment of linear algebra and multivariable calculus at a higher theoretical level than in MATH 2210 – MATH 2220 . Staff. Topics include vectors, matrices, and linear transformations; differential calculus of functions of several variables; inverse and implicit function theorems; quadratic forms ... , MIT OpenCourseWare, Although the book is mainly concerned with multivariate calculus and linear algebra, it touches on many interesting and important matehmatical topics from set theory, topology, differential geometry, fractals, chaos, and analysis. It also provides an appendix that gives proofs for 25 of theorems that are considered harder to prove than is ..., Topics include vector algebra, linear transformations, matrices, determinants, orthogonality, eigenvalues, and eigenvectors. Applications are made to linear differential or difference equations. ... (This part must be present in any outside course being considered for transfer credit to Cornell as a substitute for MATH 2930.), Linear Algebra A free linear algebra textbook and online resource written by David Cherney, Tom Denton, Rohit Thomas and Andrew Waldron Edited by Katrina Glaeser and Travis Scrimshaw. What this book is: This "textbook" (+videos+WeBWorKs) is suitable for a sophomore level linear algebra course taught in about twenty-five lectures. It is designed ...