The Best Way To Learn Linear Algebra

My Courses: www.freemathvi... || I discuss the best way to learn linear algebra and give you some options. Do you have advice for people? If so, please leave a comment below.
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Thank you:)

[@LaughingManRa]

My college linear algebra course used "Elementary Linear Algebra", 8th ed., by Anton and Rorres. For homework, my professor would assign literally all of the even-numbered problems at the end of each section. (This was one of those textbooks where the answers to the odd-numbered ones were in the back.) It made for some late nights, but it really drilled in the concepts.

[@guidichris]

Some of us look at your bookshelf like Homer Simpson looks at donuts. The difference is math is generally not fattening.

[@jasonalba4004]

It’s fattening for your knowledge 😎

[@eswyatt]

Math makes me hungry. So they *are* fattening.

[@L17_8]

Jesus loves you ❤️ please turn to him and repent before it's too late. The end times described in the Bible are already happening in the world.

[@TheMathSorcerer]

Lol

[@douglasstrother6584]

I used "Basic Concepts of Linear Algebra" by Isaak & Manougian. The level of the text is good for a first undergraduate course, and contains a number of biographical sketches throughout. I didn't "get" Linear Algebra until I had to use it in my Physics courses and other applied situations.

[@SabrinaMarquez-rw2xb]

A good book similar to Anton’s book is Leon’s Linear Algebra with Applications. Serge Lang’s Introduction to Linear Algebra is great if you want an intro linear algebra book that is more focused on linear transformations and vector spaces. Anton’s book is probably the most balanced of all intro linear algebra books. Still a great book, especially for having as a reference.

[@kellystevens6464]

Howard Anton! I still have his calculus from my 1983 freshman calculus class. I loved that book

[@henryloisdavilaandrade6247]

In my experience the best books for linear algebra are: 1. Introduction to linear algebra by Gilbert Strang is a very practical book, excellent reference for engineers. 2. Finite dimensional vector spaces by Paul Halmos, incredible book, very good classic in this area. 3. Linear algebra by Hoffman and Kunze, an advanced reference of this area, very good for mathematicians.

[@tchappyha4034]

My favorite one is "Linear Algebra Done Right Third Edition" by Sheldon Axler. A crystal clear explanation. In Japan, "Linear Algebra" by Ichiro Satake is said a very good book.

[@henryloisdavilaandrade6247]

@@tchappyha4034 I agree with you Linear algebra done right is also a great book

[@txikitofandango]

This video came just in time. I'm planning on really hunkering down and learning this stuff once and for all next semester. Would be nice to get a reading group going, as I'm an amateur

[@andrewcameron5495]

Best of luck with your studies! I hope you enjoy linear algebra.

[@skylynne4745]

The fact that every video you make and mail you receive are so much in phase with what I currently go through is actually insane (I just started my first year in physics and I’ve been looking at your vids for the last 6 months, especially those on book recommendations to self learn maths). It just feels like your videos come out in the perfect timing for me. Thank you so much for these vids btw. Edit: just went through the comments and seems like I’m not the only one lol.

[@Mystic_hermit]

That's why he is a sorcerer! In sync with the needs of the learners lol

[@ryanhardig3961]

lovely timing. Just picked up Anton's off my shelf for the first time earlier today!

[@daniellejdevlin8882]

Linear Algebra was my FAVORITE math course in college! I had an amazing professor and the material was so much fun! The textbook I used was Linear Algebra and It's Applications by David C. Lay. It's a great textbook and I highly recommend it to students studying the subject in college.

[@GaloSigma395]

Does it cover the entire Linear Algebra course?

[@MathematicswithRohit]

You can watch my Linear Algebra Playlist

[@bigbod4231]

I have a book recommendation for you, I came to posses this book by chance when my University decided to give some books away from their library. It's called Mainstreams of Mathematics by Fraleigh. It's quite old and possibly rare, but if you don't have it in your collection yet it's a really great read, very different than most math books because of the scope of subjects it covers. (love your videos btw)

[@kmunson007]

Super helpful video. I've taken the plunge into linear algebra because of a recent obsession with quantum computing. Turns out, linear algebra is the foundation for understanding quantum computing because of its origins in quantum physics (and a large part of understanding data science, machine learning, and cryptography - especially new "quantum-safe" cryptography). Even though there are tons of good resources online, I ordered the book. And let me congratulate you on the success of your channel. 12K views in 14 hours for a math video - that makes me happy.

[@jojjijojijoji7622]

Hey! can you please help me to learn linear algebra as I'm also going to study quatum computing after a while and Professor has told me to prepare myself in linear algebra before starting anything specifically. So, can you please provide me a roadmap to follow so that I can learn linear algebra for further studies. I'll be thankful to you.

[@davidmarshall8628]

I had an intro course out of Anton. Having this background, modest as it was, made it easier when I tangled with Curtis, Hoffman & Kunze, and Halmos' Finite Dimensional Vector Spaces.

[@vincentzevecke4578]

Mathsocrer, i love how you explain mathematics to both high school students to college students. I got hours in mathematics. You explain it in simple terms that students csn understand. We both that mathematics can be very challenging sometimes

[@vishalkaranam]

figured out getting a good textbook for linear algebra is much better than watching videos explaining it. thank u for the anton's book. Its really easy to read and understand.

[@chiokjarse]

I'm currently reading The No Bullshit Guide To Linear Algebra by Ivan Savov. Much more readable than a traditional textbook.

[@ndotl]

Cross Product --> Law of Cosines --> Proj A onto b. Separately, triangle inequality.

[@pyro3215]

explain yourself

[@ndotl]

@@pyro3215 Hint: Prove yourself.

[@ahaszsaddssd9931]

You're always posting about something I thought about the very same day

[@rodrigodiazarancibia5486]

Thanks mathsorcerer for your help to all students of math! Here is my humble suggestion for the viewers: If the course is proof based, Friedberg's book together with the lecture notes from Terence Tao are great. And for the chapter of inner products definitely Axler's book. If you are learning by yourself you should see the video lectures of algebra from Techion together with the books mentioned above. Hope this helps!

[@noahlibra]

I personally used Axler’s ‘Linear Algebra Done Right’ when I started out with proofs. Was probably the best book I could have used on the subject.

[@simpleplan2528]

+1

[@joshuagolafshan6238]

And it’s free!

[@PatrickDoolittle]

How many Linear Algebra books have you read? Could you compare and contrast those books to Sheldon Axler's "Linear Algebra Done Right" and Gilbert Strang's "Linear Algebra and It's Applications"?

[@nayanendumisra6764]

Hello. I am a Mathematician from India. I find your videos both interesting and helpful for learning Math. Thank you. ❤🎉😂

[@everline_builders]

When you can't find a math book in your infinite series of book shelves you know he's a serious math maestro! Loved the vid!

[@samehabuerreish8785]

Had no idea linear Algebra needs proofs ! It seems axiomatic and self evident to me 🤷🏻‍♂️

[@coreygraham860]

Really? I dabbled in computational linear algebra and found the vector calculations to be intuitive, but matrix and determinant rules seemed rather arbitrary to me (e.g. "subtract the product of this diagonal from that diagonal, multiply the row of this matrix by the column of this matrix, etc.). They're simple enough to remember, but I wouldn't call them self-evident. I would definitely be interested in seeing how these rules were derived once I learn how to do proofs.

Great video. I'll use the first book, to fill some hole in my linear algebra's knowledge.

[@andrewcameron5495]

Good for you! It's always good to revisit old topics and to keep trying to learn more

[@walter274]

Linear Algebra is such an important subject. I don't think it gets enough love.

[@silvermine2033]

An extra comment to boost the KZbin algorithm!

[@Mahm00dM0hanad]

Please make a linear algebra course, please

[@SequinBrain]

It's been over 10 years since I've seen it, but I don't remember proofs being in Strang's book? If they are, I'd probably remember if I saw them again. I remember calculating the cube in 6 dimensions, but not much proving. I recall proofs that were in the text, but not required to write or turn in, being in Larson/Hostetler's calculus book, but since they rarely defined their terms, the proofs didn't mean much.

[@andrewcameron5495]

Interesting you mention that. I recall watching Strang's final lecture online and another prof was commenting on how Strang would never use terms like "theorem" and "proof" during lectures, but rather, would teach the course entirely based off intuition. I think in general that students tend to get frightened when they see these words (especially for non math major students), so it's neat to know that Strang tried his best to avoid teaching in that style. It probably made many more people interested in linear algebra!

[@dcruze]

I have the 12th edition (Anton), it has a few more authors but I guess it's a continuation of the one you have. Originally when learning linear algebra I used a book by Lay

[@harriet7475]

Thanks so much for the book recommendations!

[@MrMojo271]

“Linear Algebra Done Right” by Axler is also good. I think “How to Prove It” by Vellman was most hated math book. A proof writing book with no solutions. If you’re self-teaching, how do you know what you’re doing is right

[@spaceghost4890]

I'd love one of these about discrete math. I had a bitching time trying to comprehend that.

[@ignacioacosta9352]

Surprised you didnt mention Axler's Linear Algebra Done Right.

[@andrewcameron5495]

I find that the first 3 or so chapters in that textbook are so extremely rigorous in some situations that it takes away from understanding concepts of linear algebra purely from intuition. I will say that it was helpful in later courses that Axler takes such a rigorous approach to linear algebra, because its how you need to approach proofs for tougher, higher-level math concepts. It's a fine and dandy book, but I wouldn't say it's great for an introduction to linear algebra course.

[@alejandroaguilar3816]

I just recently acquired the book Linear and Geometric Algebra by Alan Macdonald, it’s a totally new approach to linear algebra. I recommend it. The only down side is it doesn’t come with algorithms such as computing the inverse, Gram-Schimdt, computing determinants, computing eigenvalues and eigenvectors, etc. Because the algorithms get in the way of the development of the theory, therefor, I would use it along with another book.

[@hellfishii]

“Linear algebra done right” this shit is hard as hell if you get it you are at 99 percentile of math

[@talitoplays3120]

make a course ill buy it , i have. bougth every course you made in udemy

[@83jbbentley]

If Lebinz and Newton invented Calculus to explain natural phenomena is it conjecture to say that their is maths that need to be created to explain cosmological phenomena?

[@mitchellhayman381]

Differential equations are the language of physics. But you need linear algebra for field theory

[@eswyatt]

Would love an Anton vs. Lay video! I'm torn.

[@SergiiStarodubtsev]

I, and I think many, would need some goal in mind to jump on math again, as we already became adult with our adult life, working at jobs that not nesseraly, I likely are not related to math at all. It could be a hobby, I guess, but even hobby is goal oriented, say one takes photos or playing guitar 🎸, one can show it to people around, with math it is a bit different, I guess...

[@ccuuttww]

I recommend Linear Algebra and its application Sometimes it very depends on your purpose to decide how deep u need to dive into this topic

[@MathematicswithRohit]

You can watch my Linear Algebra Playlist

[@sokha55]

Hallo math sorcerer, I was bumped and stuck into this math equation, can you or anyone help me with this : Weight (15)+(1-weight)5 = 12 Weight = ? Thanks before. Cheers

[@JesusIsMySaviorILoveJesus]

I know that you have on here Calc 1 and 3 classroom recordings of you teaching a real live class, but do you have one of calc 2?

[@samh-smith2931]

What about the one by Paul C. Shields?

[@MathsMadeSimple101]

The best way to be good at math is to pick the right parents

[@quakquakhoe9494]

That goes for everything

[@gamera7206]

That's beside the video but I really need some info. Which chapters of high school mathematics are more important for electrical engineering and which are the insignificant ones?

[@vyrsh0]

I want to learn linear algebra for myself, not for an exam, is the videos by 3b1b good? I saw this video where you can transform a lot pf problems in matha into linear algebra and solve problems and even gain better insight to the orignal problem

[@lawson1310]

For the elementary linear algebra book can we take the chapters in random order?

[@koreaneeayu6811]

I am Asian. I don't know but I feel friendly from his videos. What a magic. He is like mathematical Dumbledore.

[@abdullahajibaye4349]

Thanks so much for the educational advice and learning pathways you give to students like me. I would like if you can give me some advice on which course is the best to study in college; Mathematics or Computer science. I'm willing to study Computer science for the purpose been that, I started learning an IT skill (INTERNETWORKING) a year ago and I have really been enjoying it alot. So that made me set great plans for studying computer science in college but I also love doing Mathematics alot because I feel great doing it and I have alot of fun. I'm looking forward to seeing a Reply from you, so I can arrive at a better decision.

[@rossenpetrov3705]

Great video, and question to the @TheMathSorcerer (but not only): I’ve just started (re-)learning Calculus 1, as a prerequisite for my own self-studies of quant finance. Since Linear Algebra is also one of the prerequisites, can it be learned in parallel with Calc 1? I’m asking because I’ve narrowed down the search for Linear Algebra book(s) to the same one - Anton’s, and I believe in the Preface there is a statement that Anton’s book *doesn’t* have/assume/need Calc background, and I’m considering studying both (Calc 1,2,3 and LA) at the same time? Does that sound like a good plan, in terms of prerequisites background? (my overly ambitious workload plan as a full time worker is another matter ;) ) Thanks!

[@matsnordstrom8584]

You can never study too much linear algebra.

[@animenmusic16]

I dont know if you are implying what i understood but whenever i feel like i am getting it, another concept emerges and messes with my previous concepts

[@lostinnothingness21]

What do you think about gilbert strangs book?

[@ronaldjorgensen6839]

THANK YOU BOUGHT A COPY THANKS NEED FULL REVIEW PRIOR 4.0 ATROPHIED

[@lianyas]

I had never studied math can anyone help me and tell me where to start from?

[@TonyDaExpert]

As an engineer the proofs in linear algebra killed me, I didn’t know I could take computational 😅

[@sthetatos]

Try the book by W.W. Sawyer.

[@MathematicswithRohit]

You can watch my Linear Algebra Playlist

[@metalfingerz4203]

vectorial spaces, dimensions, basis, span HELL

[@guitaristxcore]

This guy has achieved full Leibniz

[@FieldWordsworth-m5n]

Johnson Michelle Thompson Timothy Clark Brenda

[@NisuazCaffee]

your hair is very nice like mine:)

[@krulusgaming1061]

how to learn linear algebra? ans: its simple, U have to grow hairs of that length while learning it.

[@MarcosVinicius-nm7oo]

I have studied linear algebra a lot for my exam, 3-5 hours each session. Still managed to get a 3/10 or an F. What I have noticed is that there are A students as well as mediocres one, I think it is impossible to change this nature even with work.

[@prodbytukoo]

Study more, don't give up, I was mediocre at math, now I directly passed differential equations and physics II because of good grades in the midterms. Go, fight that book and train your most important muscle, your brain. Best of lucks!

[@prodbytukoo]

Also solving old exams helps a TON

[@vincenguyen2922]

Sniffing math books like it was crack.

[@PushpitaSaha-m6o]

Want to know about your life

[@EpicMethGaming]

axlers book is the goat for a 2nd exposure, axler + anything else makes it complete

[@fuckingfreak1180]

hi, I have a question for anyone who can answer. it may sound idiotic but i really dont understand. why do we even need linear algebra? like HOW did people come up with it, what were they planning to discover? i get it that you need matrices in cs or something like that but LINEAR SPACES??? JORDAN'S CAGE???? what's the point of that? im really scared to ask my professor so i'm hoping someone here can enlighten me

[@anglaismoyen]

Your professor is obviously a professional in the subject and is more likely than not to be passionate about it. Even if they're not, they're paid to helpb you. Your best bet is asking your professor.

[@stupidsort]

thank you math sorcerer