How to learn linear algebra in college? Find a way to learn.

Mathematics: Theorems in textbooks, you can try to reason on your own. This will not only improve your proof ability, but also deepen your understanding of the formula.

There are also a lot of practice questions. Basically, after each class, you have to do the questions of the after-class exercises (excluding the teacher's homework). The improvement of mathematics scores and the mastery of mathematical methods are inseparable from the good study habits of students, so good mathematics learning habits include:

Listening, reading, **, homework Listening: should grasp the main contradictions and problems in the lecture, think synchronously with the teacher's explanation as much as possible when listening to the lecture, and take notes if necessary After each class, you should think deeply about it and summarize it, so that you can get one lesson and one lesson Reading: When reading, you should carefully scrutinize, understand and understand every concept, theorem and law, and learn together with similar reference books for example problems, learn from others, increase knowledge, and develop thinking **:

To learn to think, after the problem is solved, then explore some new methods, learn to think about the problem from different angles, and even change the conditions or conclusions to find new problems, after a period of study, you should sort out your own ideas to form your own thinking rules Homework: to review first and then homework, think first and then start writing, do a class of questions to understand a large piece, homework to be serious, writing to standardize, only in this way down-to-earth, step by step, in order to learn mathematics well In short, in the process of learning mathematics, It is necessary to realize the importance of mathematics, give full play to one's subjective initiative, pay attention to small details, develop good mathematics learning habits, and then cultivate the ability to think, analyze and solve problems, and finally learn mathematics well

In short, it is a process of accumulation, the more you know, the better you learn, so memorize more and choose your own method. Good luck with your studies!

Linear algebra is very simple, you need to memorize theorems, and there are only a few example problems in the exam, just memorize them. I found it difficult to learn at first, but then I gradually got better, I did all the example questions in the book, and I didn't know how to ask the teacher, and it was no problem to score 100, so I took the 100 test

Self-study linear algebra should have professional textbooks, do more questions, memorize more concepts, and work hard to learn linear algebra well.

Linear Algebra includes determinants, matrices, systems of linear equations, vector spaces and linear transformations, eigenvalues and eigenvectors, diagonalization of matrices, quadratic forms and application problems.

It depends on what discipline you want to take the graduate school in. If it is an engineering or business major, it is enough to learn it simply, such as Hoffman's (linear algebra).

If it's science, it's more complicated I recommend a book by Xu Yichao (linear algebra and matrix theory) (more difficult).

Classmate, I have always learned good mathematics in my undergraduate, and I scored 143 points in the graduate school entrance examination, I will now talk about some of my usual methods, I hope it will help you somewhat.

The most important aspects of mathematics in college, including advanced mathematics, probability and statistics, and linear algebra, are fundamentals, and no matter what exams, including final exams and graduate school entrance examinations, are also focused on mastering the basics. I think there are a few things to pay attention to when learning college mathematics well: 1. Pay attention to textbooks.

The theorems and their inferences in the textbook must be understood, the example problems in the textbook are generally very simple, but they are representative, so they cannot be ignored, only by understanding the textbook can we do the exercises, in order to do deeper expansion; 2. A certain amount of practice is a must. Of course, you don't have to do a lot of exercises like you did in middle school when you go to college, because after all, time and energy are limited now. However, a certain amount of practice is essential, and teachers generally have to leave homework, which must be completed; 3. If you really feel that you have difficulty in learning, you might as well buy a tutoring book, which is generally sold in schools, you can buy a second-hand book, a few dollars, not expensive, there are many explanations and exercises on it to choose from; 4. Communicate more with classmates and teachers, what problems can be discussed with classmates, but at this time you must find the right classmates, to find the kind of self-motivated, good academic performance of students, otherwise it is likely to be some willing to degenerate people puzzled, usually with the teacher may not have many opportunities to meet, but there are still some, at this time there are any problems must not be missed.

Next, I'm going to talk specifically about linear algebra. Linear algebra is a very theoretical, even some abstract discipline, starting from the determinant, transitioning to the matrix, the final problem to be solved is the solution of the system of equations, the difficulty of the book lies in the matrix, including the rank of the matrix, linear transformation, etc., and there are many theorems involved. Therefore, in the process of learning, you must understand the relevant concepts and theorems, and then with an appropriate amount of exercises, I believe that there is no problem when coping with the exam.

Finally, I wish you progress in your studies!

This varies from person to person, and there is no common law.

I'll just talk about my experience, not experience.

When I was in linear algebra class, the textbook was written by my own school, and it was difficult to read.

During the lesson, accompanied by the teacher's hypnotic sound, I fell asleep at the back of a huge classroom.

The final exam is approaching, and I haven't learned anything, so I think I'm going to hang up.

But after all, my math foundation is very good, and I got a perfect score in high math and barely passed.

Linear algebra appeared in some subsequent courses such as optics, circuit analysis, thermodynamic statistics, quantum mechanics, and electrodynamics.

I feel that linear algebra is so important, but if I learn it, I don't learn it.

So, starting from the summer vacation of my sophomore year, I borrowed another book from the library (the book during class probably left a shadow), and it lasted most of the year from beginning to end, and I read every exercise in a carpet style.

Finally, I made up for linear algebra, and during this period, I had junior and junior year courses, so I could only use the spare time to watch it.

Comprehending the essence of linear algebra --- the idea of linear space, of course, this is not something that can be achieved in one step.

Preview before class, and listen to the lecturer if you don't understand the class.

Review after class and do more linear algebra questions.

Do a set of mock test questions before the exam.

Linear algebra in college is very easy to learn, whether you believe it or not, as long as you soak in the library for more than 5 hours a day, you can understand it very well if you are conservative for a week, in fact, it is enough to watch and practice every day for three or four days, and you can learn it more generally.

Does it feel like Zhu Bajie eating the fruits of life?

I don't know what it tastes like when I eat it?

I'm sure there will be a lot of people who feel this way.

Actually, it's not just linear algebra.

I feel the same way for all math subjects.

I thought it was due to an incorrect understanding of mathematics.

Listen to me talk a few words

Mathematics, especially higher mathematics.

All are characterized by a high degree of abstraction.

So people's first impression of mathematics is:

Pure logical thinking, rules and regulations, chewing words, not cranky ......He even thinks that mathematics cannot have any figurative thinking.

So I feel that mathematics is mysterious and boring...... boring

This is all a misconception.

In fact. Throughout the history of mathematics.

Any development of mathematics is based on figurative thinking - mathematical conjecture that any abstract mathematical discipline begins with human life.

Draw conjectures from doubts.

Then go to investigate and prove.

In the process, new questions were encountered.

New conjectures ...... generated

That's how the math edifice was built.

It is by no means a castle in the air.

It can be said that figurative thinking is the main ingredient of mathematical thinking.

Figurative thinking is not only the growth point of mathematics.

Both the overall and local structures of mathematics also rely on visual thinking.

Even a proof of a concrete mathematical conjecture.

It is also necessary to rely on visual thinking to be inspired.

Only then did we find a breakthrough and a way to implement it.

Think about the plane geometry proof question in junior high school.

Not having enough visual thinking skills.

That would be a no-brainer.

You'll be amazed at how others come up with it.

Explain that you lack visual thinking.

Because there are many ways to prove plane geometry.

Almost impossible to classify.

It is difficult to find a way to prove it by logical reasoning.

So learning math is more than just memorizing formulas, reasoning, and calculus.

It's more important to figure out the meaning of mathematics.

That's the soul of mathematics.

If you catch this soul.

You will find that mathematics is the most fun toy and admire the beauty of mathematics.

Back to linear algebra.

If you only know how to determine rank.

I don't know why the rank is determined.

If you only know how to compute eigenvectors.

Don't know why you want to compute eigenvectors.

Learning linear algebra, then, is like chewing wax.

It's a pity.

Our math teachers won't tell you these whys either.

Over time, math becomes a hateful thing.

Learning math is an artificial burden.

I'm studying, so I'll look at more example problems and do after-class exercises.

The best way is to study hard and use your brain, there is no other shortcut.

Let's learn the Feynman Method!