Current location - Training Enrollment Network - Mathematics courses - What does linear algebra learn?
What does linear algebra learn?
Question 1: What is the use of linear algebra? Linear algebra is a magical thing. Linear algebra method is a method to look at the problem from a linear point of view, describe it in the language of linear algebra, and then solve it (matrix operation can be used if necessary). This is one of the most important applications in mathematics and engineering. In fact, all advanced mathematics can not be separated from the study of linear algebra and even matrices. It's just that what we learned in college is superficial, just as an understanding. Only Dan who really wants to do research in the future will study in depth. Well, it is always good to know more. You can't graduate from college. You don't understand basic algebra, do you?

I hope the answer can be adopted by the landlord!

Question 2: What does college linear algebra study? Generally speaking, it is divided into six partial determinants, matrix, vector, linear equations, eigenvalue and eigenvector of matrix. Quadratic linear algebra has a strong sense of integrity, each chapter is closely related, and there are many intertwined test sites, so it is easy to solve the synthesis problem of line generation, but line generation is relatively simple in number theory and probability theory. Because of his many concepts, it is not difficult, so it is easy for learners to learn and use them well. I think it is important to understand the concept in place, especially the concept and application of rank, the solution of linear equation and the characteristic matrix of characteristic vector, because these three test sites are easy to be similar, and the contract and quadratic form will cause big problems together, so we should pay attention to it. Generally speaking, line generation is not difficult, I hope my answer is helpful to you!

Question 3: What does linear algebra in economics mainly study? Linear algebra in economics mainly studies determinant, butyl matrix, linear equations, vector space and linear transformation, eigenvalue and eigenvector, matrix diagonalization, quadratic form and its application.

Linear algebra is a branch of mathematics, and its research objects are vectors, vector spaces (or linear spaces), linear transformations and linear equations with finite dimensions.

Vector space is an important subject in modern mathematics. Therefore, linear algebra is widely used in abstract algebra and functional analysis; Through analytic geometry, linear algebra can be expressed concretely. The theory of linear algebra has been extended to operator theory. Because the nonlinear model in scientific research can usually be approximated as a linear model, linear algebra is widely used in natural science and social science.

Question 4: What's the difference between advanced mathematics and linear algebra? First of all, let me tell you my personal feelings.

The high number of 1. is more difficult than line generation.

There is almost no connection between the two. You can learn line generation without learning advanced numbers, that is to say, it does not affect the other. The school starts with advanced mathematics, but I don't think there is any relationship between them.

In fact, as long as you learn the determinant of high school, you will get started quickly, but you will have to make more efforts to enter high school.

These are my personal feelings. I'm talking about the courses offered by the university.

Question 5: What kind of mathematics is linear algebra? Linear algebra is a branch of mathematics, and its research objects are vectors, vector spaces (or linear spaces), linear transformations and finite dimensional linear equations. The theory of linear algebra has been extended to operator theory. Because the nonlinear model in scientific research can usually be approximated as a linear model, linear algebra is widely used in natural science and social science. Linear algebra has various important applications in mathematics, physics and technology, so it occupies a primary position in all branches of algebra. The connection between geometric concepts and algebraic methods embodied in linear algebra, axiomatic methods abstracted from concrete concepts, strict logical deduction and ingenious induction and synthesis are very useful for strengthening people's mathematical training and obtaining scientific intelligence. This is one of the most important applications in mathematics and engineering.

Video resources: open. 163/...u

Question 6: How to learn linear algebra? I can't read this book at all. 50 points. Let me talk about my opinion first: In fact, linear algebra should be the best in the three courses of mathematics, but one of the characteristics of this course is that it is difficult to get started, but once you get started, you will understand everything. This course will be uncomfortable at first, because it is completely different from high school. Generally speaking, the contents of the six chapters are interlocking, so many students find that the contents of the first chapter involve the fifth chapter. When I saw the second chapter, I found that the fourth chapter had knowledge points and could not form a complete knowledge network, so I naturally couldn't start. Generally speaking, the content of the sixth chapter of this book should be divided into three parts to crack one by one. First, determinant and matrix, second, vector and equation, third, fifth and sixth chapters, these three contents are closely related and must be broken one by one, so that the knowledge point theorems appearing in each unit are listed in two chapters to find the relationship between them. It is best to take a blank piece of paper and connect them one by one like a pointer in C language to form your knowledge network. What are the plates in this part, and what are the definition knowledge points of each plate, such as the definition of determinant, the definition of matrix, how do you understand it, and what are the connections and differences between vector and equation? These basic things should be clarified. Don't watch Li Yongle's video from the beginning, because it was watched in the intensive stage. I suggest you listen to the lecture on linear algebra of stone 12. The teacher's content is very basic, only 12 lectures, but they are all about the key points, so that you can get started easily!

Question 7: Which is better, linear algebra or advanced mathematics? First of all, I will tell you my personal feelings. Second, advanced mathematics is more difficult than linear algebra. There is almost no connection between them. You can learn linear algebra without learning advanced numbers. In other words, it has no effect on others. When school starts, you should study advanced mathematics first, but I don't think there is a * * * relationship between the two. Third, linear algebra can get started quickly as long as you learn the determinant in high school.

Question 8: What is the use of linear algebra? What is the significance of learning linear algebra? Linear algebra has various important applications in mathematics, physics and technology, so it occupies a primary position in all branches of algebra. With the wide application of computers today, computer graphics, computer-aided design, cryptography, virtual reality and other technologies all take linear algebra as a part of their theoretical and algorithmic basis. The connection between geometric concepts and algebraic methods embodied in linear algebra, axiomatic methods abstracted from concrete concepts, strict logical deduction and ingenious induction and synthesis are very useful for strengthening people's mathematical training and obtaining scientific intelligence. With the development of science, it is necessary to study not only the relationship between single variables, but also the relationship between multiple variables. In most cases, practical problems can be linearized, and because of the development of computers, linearization problems can also be calculated. Linear algebra is a powerful tool to solve these problems.

The meaning of linear algebra is expanding with the development of mathematics. The theory and method of linear algebra has penetrated into many branches of mathematics, and it is also an indispensable basic knowledge of algebra in theoretical physics and theoretical chemistry.

It is natural for people to deal with many math problems. The treatment of many practical problems often comes down to linear problems, which are easier to deal with. Therefore, linear algebra is widely used in many fields of engineering technology and national economy, and it is a basic and important subject. The calculation method of linear algebra is a very important content in computational mathematics.