Chapter 295 (2/2)
Another three days.
When the students began to return to school one after another, Cheng Nuo and his group of more than 100 people took several buses to the location of the preliminary competition.
The preliminaries of the National College Students' competition are held in different divisions. Like the competition system of high school mathematics league, only students who have won the first prize in the preliminary competition can be qualified to participate in the final.
The Kyoto division, due to the existence of a large number of institutions of higher learning such as Tsinghua University, Beihang University and so on, has always been the most fierce competition area.
At nine o'clock in the morning, under the leadership of Professor Lu, more than 100 people arrived at the test site of Kyoto Normal University.
After checking the examination papers, Cheng was released into the examination room.
It's half past nine in the morning.
The examination time is 180 minutes, and it is allowed to hand in the paper in advance.
There are four blank filling and five big questions. The total score is 100. Although the number of questions is small, the difficulty of each topic is absolutely equal to the National College Students' mathematics competition.
The first time he got the test questions, Cheng Nuo scanned the nine questions from the beginning to the end.
In order!
This is Cheng Nuo's judgment for a moment. There is little difference in the type of test questions and the test points compared with those in previous years. Only slight changes have been made in specific topics. Generally speaking, they can only be regarded as regular.
In this case, for Cheng Nuo, he lost the difficulty of the challenge.”I hope the title will be more challenging in the final
Murmured in a low voice, Cheng Nuo lowered his head and began to answer the question.
Let H1 = (0, 1 | 1,0), Hn + 1 = (HN, I | I, HN), n ≥ 1, where I is a square matrix of the same order with HN, then rank (H4)=______ 】
the test point of this question is related to the knowledge of diagonal matrix.
Shua Shua Shua!
Cheng Nuo wrote on the paper the steps to solve the problem: ”HN is a symmetric matrix of M = 2 ^ n, then there will be an orthogonal matrix P such that The answer is: rank (H4) = 10. 】
three minutes, finish, next question!
…………
Outside the examination room, a rest area for several school leaders.
Professor Lu of the school of mathematics of Tsinghua University and Professor Liu of the school of mathematics of Peking University sit together.
Professor Liu said with a smile, ”Lao Lu, I didn't expect you to lead the team this year.”
Professor Lu gave him a cold glance. ”It's like you didn't lead the team last year.”
”Ah ha ha!” Professor Liu didn't feel embarrassed at all, ”but I was the one who won the bet last year, so I don't mind doing it again!”
Last year, Professor Lu and Professor Liu were also the leaders of the two universities. The two men made a bet on the competition.
In the end, the university that wins the first prize will win.
And the bet is that the loser will take a month's class free of charge for each other's graduate students. This is what Professor Liu values. Although the Department of mathematics of Peking University ranks first in China, the professors employed are not omnipotent in all fields of mathematics. The functional field is a weakness of the Institute.
Functional analysis is a rare field in China, and few professors have studied it.
However, Professor Lu is an expert in the field of functional analysis, and his attainments in functional analysis are in the forefront of the country.
Therefore, Professor Liu used the method of encouraging Professor Lu to agree to the bet last year.
As a result, of course, there was no accident.
In terms of strength, the University of mathematics is stronger than Tsinghua University. In the end, there were eight first prize winners from Peking University and six first prize winners from Tsinghua University.