A review of Linear Algebra

Due to the need for learning, I have basically not been familiar with the knowledge of line generation, probability statistics, and high numbers in the past two years. Recently, due to the need for learning, it took about two weeks to review the books used by the offline undergraduate course. After the review, I found that I only had some impressions of my current year, but I was not very impressed. I still did not do some exercises after class. As a result, when reading some paper documents, I had to think about a formula that would have taken a long time to respond. I felt that it was not enough to repeat it again.

 

For the second time, I downloaded a online video from the textbook chapter, I think it was my time to take an postgraduate entrance exam at Tsinghua University in. The teacher spoke well. I put the whole book on the first chapter. I like it like this, if I read a lot of books on my own, if I don't look for some patterns to get them together, I will simply lose my mind to the east and the west, and it will not be integrated, so I can't apply what I have learned.

Some of the lectures Started by this teacher are very good, because our linear algebra textbooks are similar. They all start from the determinant, followed by the matrix followed by the vector, I didn't quite understand the arrangement of books before, but now I am wearing it all at once:

 

Linear Algebra is used as a tool to study linear equations, linear spaces, and transformations. The determining factor introduced at the beginning is N * n to solve the vector group. If we replace it with M * n, we will not be able to solve this equation by using the determinant. Then we introduce the matrix, we can solve the problem by using Gaussian elimination method. If the equations have infinite solutions, what is the relationship between the solutions? This introduces the concept of vector.

 

Despite a few short words, the sequence of a book is really worn out, and the brain has a very clear concept at once ..