David Lay, Linear Algebra and Its Applications

Gilbert Strong's Introduction to Linear Algebra

Sheldon Eksler, Getting Linear Algebra Right.

If the subject wants to study this topic in depth, you can try to read:

Herman grassmann's Austrian School;

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Linear algebra is a branch of mathematics about vector space and linear mapping.

Linear algebra is a branch of mathematics about vector space and linear mapping, including the study of lines, surfaces and subspaces, and also involves the general properties of all vector spaces.

Linear algebra is the core of pure mathematics and applied mathematics, and its significance is expanding with the development of mathematics. Its theories and methods have penetrated into many branches of mathematics, and become indispensable basic knowledge of algebra in theoretical physics and theoretical chemistry.

As an independent branch discipline, linear algebra has a long history, although it was only formed in the 20th century. The problem of "chicken and rabbit in the same cage" is actually a simple problem of solving linear equations.

Academic status:

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.

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, all kinds of practical problems can be linearized, and with the development of computers, linearized problems can also be calculated. Linear algebra is a powerful tool to solve these problems. The calculation method of linear algebra is also a very important content in computational mathematics.