1 vector is very important.

Line generation is a brain-consuming process. Whether determinant, matrix or equation are actually vectors to be studied, it can be said that the core of line generation is vector and vector relationship. As long as we learn the chapter of vector well, line generation is no problem. At the same time, each chapter of the line generation is actually a research angle, and we often have to think about the problem from multiple angles when doing the problem.

Don't sleep in class.

If you go to bed too late the night before, the online substitute class will become a "hypnosis class" the next morning. Therefore, the cable TV substitute students should go to bed early the next night, and the "sleeping party" should be shorter.

3 preview

If you feel that you can't keep up with the teacher's ideas in class, please preview. This preview is also learned. When previewing, you should "leave more troubles to yourself", that is, when you encounter formulas and theorems, cover up the proof part and try to think about your own ideas. Of course, it can be adjusted according to your actual situation, but you should consider yourself as much as possible.

Pay close attention to class time.

We must pay attention to lectures in class, and we must not degenerate the learning of line generation into self-study. Doing other things in class will be influenced by the teacher's lecture, so why not make good use of this hour and forty minutes? A word from the teacher in class may make you suddenly enlightened, so you must be "open-minded" in class, even if the teacher says you will listen to the teacher's ideas.

Linear algebra 6 exam points

First, the determinant part, strengthen the conceptual nature, skilled determinant solution.

The following points need to be clarified here: the determinant corresponds to a numerical value, which is a real number, which can help us check some missing low-level errors; Definition method is commonly used in the calculation method of determinant, and the more important methods are edge addition, mathematical induction and order reduction.

Using the properties of determinant, the determinant is deformed identically, simplified and expanded by rows or columns. In addition, Vandermonde determinant also needs to be mastered; The examination methods of determinant are divided into the calculation of low-order digital matrix and high-order abstract determinant, and the calculation of determinant with parameters.

Second, the matrix part, pay attention to matrix operation and master the application of matrix rank.

Through the classification and statistics of real questions over the years and the distribution of test sites, the key test sites in the matrix part focus on inverse matrix, adjoint matrix and matrix equation, including the definition, nature, determinant, inverse matrix and rank of adjoint matrix, which will be emphasized in classroom counseling. In addition, the matrix equation of adjoint matrix and the combination of matrix and determinant are also details that students need to master skillfully.

It involves the application of rank, including the relationship between the rank of matrix and the rank of vector group, and the equivalence between matrix and vector group. The analysis of the relationship between the rank of matrix and the solution of equation needs to be systematically summarized and consolidated through exercises on the basis of understanding the concept.

Third, the vector part, understand the related and irrelevant concepts, and judge flexibly.

The linear correlation problem of vector group is the most important part of vector part, and it is also the necessary test point for the postgraduate entrance examination of linear algebra every year. How to master this part of the content? First of all, it lies in the understanding of the definition concept, and then it is the focus of analysis and judgment, that is, to see whether there is a set of real number pairs with all-zero or non-zero solutions.

Basic linear correlation problems will also involve similar problems: judging the linear correlation of vector groups, proving the linear correlation of vector groups, judging whether a vector can be expressed linearly by a vector group, finding the rank of vector groups and the least relevant groups, proving the rank, the proposition of equivalence between matrix and vector groups, and the proposition of vector space correlation.