It seems that more people use Tongji.

The contents include:

1. determinant: examination content: the concept and basic properties of determinant, and the expansion theorem of determinant by row (column);

2. Matrix: Examination content: the concept of matrix, linear operation of matrix, the concept and properties of transposed inverse matrix of determinant matrix of multiplication matrix, necessary and sufficient conditions for matrix reversibility, elementary transformation of adjoint matrix, equivalent block matrix of rank matrix of elementary matrix and its operation.

3. Vectors: Examination content: linear combination of concept vectors of vectors and linear representation of linear correlation of vector groups and linear independent vector groups of maximum linear independent equivalent vector groups; linear independent vector groups of relation vectors between the ranks of normal vector groups and the ranks of matrices.

4. Linear equations: Examination content: Clem's law of linear equations, necessary and sufficient conditions for homogeneous linear equations to have non-zero solutions, necessary and sufficient conditions for nonhomogeneous linear equations to have solutions, properties and structure of solutions, basic solution systems of homogeneous linear equations and general solutions of nonhomogeneous linear equations.

Verb (abbreviation of verb) eigenvalues and eigenvectors of matrices: Examination contents: the concepts of eigenvalues and eigenvectors of matrices, the necessary and sufficient conditions of similarity diagonalization of similar matrices, eigenvalues, eigenvectors and similar diagonal matrices of real symmetric matrices of similar diagonal matrices.

Quadratic form: Examination content: Quadratic form and its matrix represent the rank inertia theorem of contract transformation and the quadratic form of contract matrix. The canonical form and canonical form of quadratic form are transformed into canonical quadratic form and the positive definiteness of its matrix by orthogonal transformation and matching method.