数学刺班(线性代数)考研讲义（The math stinging class (linear algebra) exam notes）.docVIP

数学刺班(线性代数)考研讲义（The math stinging class (linear algebra) exam notes） Hei (create) entrance examination and counseling center The sprinting class (the line from generation to generation) is a handout First, the current mathematical review strategy 1. Summarize and summarize the review; 2. Practical exercises, real questions and simulation questions (real environment), Improve the speed of the problem and find out what went wrong. Positive preparation, attention to body and mind; Second, the linear algebra review overview In linear algebra, there are many concepts, many theorems, more symbols, more rules of operation, the contents are interleaved, and the knowledge is closely related Its the characteristic of linear algebra. Less skill, more fixed method. 1. Understand the concept and master the nature The concept of linear algebra is a lot, and its important: Cofactor, adjoint matrix, inverse matrix, elementary transformation and elementary matrix, orthogonal transformation and orthogonal matrix, rank (matrix, matrix, Vector group, quadratic form), equivalence (matrix, vector group), linear combination and linear table, linear correlation and linearly independent, extremely Large linear independent groups, fundamental solutions and general solutions, the structure and solution space of solutions, eigenvalues and eigenvectors, similar and similar pairs Angle, quadratic standard form and canonical form, positive definite, contract transformation and contract matrix. Apply basic methods and basic operation correctly Basic operations and basic methods must be passed, and important ones are: The calculation of the determinant (the number, the letter type), the inverse matrix, the rank of the matrix, the power of the square matrix, the rank and the pole of the vector group Large linear independent groups, linear dependent judgment or parameters, basic solutions, general solutions of homogeneous linear equations, The eigenvalue and eigenvector (definition method) are evaluat