1. Senior high school mathematics knowledge: Linear algebra is the basic course of college mathematics, which requires a certain mastery of senior high school mathematics. This includes algebra, geometry, trigonometric functions and other basic knowledge.

2. Matrix and vector: The core concepts of linear algebra are matrix and vector. Before learning linear algebra, you need to be familiar with the operation rules and properties of matrices, as well as the basic concepts and operations of vectors.

3. Solving equations: The problem of solving linear equations is often involved in linear algebra. Therefore, it is necessary to master the solution methods of one-dimensional linear equations, two-dimensional linear equations and three-dimensional linear equations.

4. Determinant and inverse matrix: Determinant and inverse matrix are important concepts and tools in linear algebra. Before learning linear algebra, we need to know the calculation method and properties of determinant, as well as the concept and solution method of inverse matrix.

5. Eigenvalues and eigenvectors: Eigenvalues and eigenvectors are important concepts in linear algebra, which are used to describe the characteristics and transformations of matrices. Before learning linear algebra, we need to know the definitions, properties and solutions of eigenvalues and eigenvectors.

6. Linear space and linear transformation: Linear space and linear transformation are advanced concepts in linear algebra, which are used to describe linear relations and transformations in vector space. Before learning linear algebra, we need to understand the definition and properties of linear space and the concept and properties of linear transformation.

In addition to the above mathematical foundation, learning linear algebra well requires good logical thinking ability, abstract thinking ability and mathematical reasoning ability. Through systematic study and practice, we gradually master the basic concepts and methods of linear algebra, and then flexibly use the knowledge of linear algebra in practical application.