1. Advanced Mathematics: Linear algebra is an important branch of advanced mathematics, which requires a certain understanding of the basic concepts and theories of advanced mathematics such as function, limit, derivative and integral.

2. Matrix theory: Matrix is one of the core concepts of linear algebra, so it is necessary to master the basic operations and properties of matrix, as well as the concepts of inverse and determinant of matrix.

3. Vector space: Vector space is another important concept in linear algebra, which needs to understand basic operations such as vector definition, vector addition, scalar multiplication and linear combination.

4. Linear equations: Linear equations are an important part of linear algebra. It is necessary to master the existence and uniqueness of solutions of linear equations and how to solve them, such as Gaussian elimination and matrix decomposition.

5. Eigenvalues and eigenvectors: Eigenvalues and eigenvectors are important concepts in linear algebra. We need to know the definition and properties of eigenvalues and eigenvectors, and how to solve them.

6. Linear transformation: Linear transformation is another important concept in linear algebra. It is necessary to understand the definition, properties and solving methods of linear transformation.

7. Quadratic form: Quadratic form is an important content in linear algebra. We need to know the definition and properties of quadratic form and how to solve the minimum value of quadratic form.

In short, learning linear algebra requires a certain understanding of the basic concepts and theories of advanced mathematics, as well as specific concepts and methods such as matrix theory, vector space, linear equations, eigenvalues and eigenvectors, linear transformation, quadratic form and so on.