Chen Zhou looked at the watch and found that the rhythm was good and there was still some extra time.

After 30 minutes of discussion, he spent a total of 25 minutes, and after reading the other people's four sets of test papers, he knew it clearly.

According to his understanding of everyone, as long as they listen carefully to their instructions, there will be no big problem.

Sometimes things like exams are based on on-the-spot performance.

Seeing Yang Yiyi and the other four returning to their seats to sit, Chen Zhou began to look at his test paper.

When the time was approaching 9:30, the invigilator spoke out and reminded him not to discuss it again. The group members of each team quickly returned to their seats and prepared to answer questions.

At 9:30 in the morning, the group exam will start on time.

With the command to start answering the questions, Chen Zhou began to write.

Start with question 1 in order.

Although he chose 5 answers to 6 questions, Chen Zhou did not care about this requirement after browsing all the six questions.

Chen Zhou planned to do 5 questions in order and then end.

Because he felt that these 6 questions were similar, there were just one question marks, and some were two or three question marks.

That is, the difference between writing more dot formulas.

Question 1 of the "Algebra and Number Theory" test paper is about the advanced algebra problem in Euclidean space.

[Suppose v=r^n is Euclidean space and g is the orthogonal matrix acting on v. When a∈v, there is an inverse function sa(x):=x-[2(x,a) represented by sa:=x-[2(x,a)

/(a,a)]a,?x∈v.]

The question is not long, but it is of complete useful information.

After Chen Zhou finished reading the question again, he looked at the question (1.1) without pause.

【If a=(g-1)b≠0, please prove that ker(sag-1)=ker(g-1)⊕rb.】

After reading the question, Chen Zhou also started to answer it without pause.

Starting from the relationship between the orthogonal matrix and Euclidian space, Chen Zhou's thinking is extremely clear and his writing is even more steady.

【…Since sa(x):=x-[2(x,a)/(a,a)]a,?x∈v…】

【……Therefore ker(sag-1)=ker(g-1)⊕rb, it is proved.】

Get a small question and get 10 points.

Chen Zhou then continued to prove the question (1.2).

Question 1 has two small questions, each small question scored 10 points, a total of 20 points.

The scores of the 6 questions are exactly the same, all of which are 20 points.

Choose 5 questions from them, with a full score of 100 points.

After Chen Zhou finished all the two small questions in question 1, he began to answer question 2.

There are 4 small questions in this question, each small question has 5 points, and the score is very average.

The type of question is still algebraic.

However, unlike question 1, this question examines the content of the exchange group.

The question stem is longer than the other questions.

But how to say the difficulty of the question? Chen Zhou felt that the longer the question and the more information the question, the simpler it is.

Moreover, there are also connections within the four small questions on the question, progressing layer by layer, providing good help for the answer to the entire question.

Question 3.

After reading the question, Chen Zhou smiled slightly in his heart, and finally got the problem of algebraic integers.

Algebraic number theory is the study of algebraic integers and is an important branch of the big family of number theory.

Chen Zhou still remembers that when he was just in his freshman year, the earliest he read was the basic textbook "Basic Number Theory".

Therefore, he inevitably felt a little intimate.

Moreover, the relationship between the Goldbach conjecture and China is also extraordinary, the pearl of the number theory industry.

This question is very short.

[Suppose ζ is the unit root that satisfies the equation ζ=1nη (for integer n≥3 and algebraic integer η). Prove ζ=1.]

Chen Zhou picked up the pen, thought for a while, and then began to answer the questions.

Soon, the third question was completed.

Next are questions 4 and 5.

Question 4 is about finite groups.

Question 5 is about the problem of complex matrix and conjugate transformation.

Chen Zhou's thoughts were solved without any obstacles.

After answering these questions in full, his feeling was the same as when he first read the questions.

These questions will be more or less difficult for others, but there is no hindrance to him who has already completed all the undergraduate courses in mathematics.

Even, like when he was in the middle school entrance exam in his freshman year, he didn't even use draft paper.

The answers to each question and the steps to each question appear clearly in his mind when he finishes reading the question.

He just wrote these answers and steps from calculating in his mind to writing them real and written on the test paper.

After taking a look at the paper full of formulas, Chen Zhou stood up calmly and handed in the test paper in advance.

Everyone in the examination room focused their attention on Chen Zhou for a moment, watching him walk out of Classroom 1308.

Chen Zhou also accepted the eyes of these people calmly. He was the first person to hand in the paper with his strength.

However, what Chen Zhou didn't know was that he was not just the first person to submit papers in the examination room of Classroom 1308.

He was also the first person to submit a paper at the test site of Morningside Mathematics Center.

In all places where the team competition exams in China are underway, whether it is Yanjing, Shanghai, Anhui Province, Jiangsu Province, Taiwan Province, or other places.

Chen Zhou was the first to hand in the paper.

After walking out of classroom 1308, Chen Zhou did not rush to return to Yenching University.

After all, even if we don’t wait for Zhao Qiqi and the other two, Yang Yiyi has to wait for a while.

In the exam room, Yang Yiyi was looking at the paper where she had half of the questions left. She pouted, wrinkled her nose slightly, and muttered in her heart: "He is getting faster and faster now..."

Immediately, Yang Yiyi accelerated her problem-solving speed and tried hard to catch up with Chen Zhou's footsteps.

Unlike Yang Yiyi, there were many candidates in the examination room. They waited until Chen Zhou's figure completely disappeared at the door of classroom 1308 that they finally lowered their heads and continued to answer their questions.

However, these people were obviously affected by Chen Zhou's pace of answering questions.

They were really wondering why Chen Zhou had finished handing in the paper after he had done more than 3 questions?

These people are mainly students from Yenching University who did not have the exam room with Chen Zhou.

They had only heard of Chen Zhou's legend, but never felt it personally.

But I didn't expect that this was the first and only time I felt that I had ruined my feelings.

It took a lot of time to stabilize the emotions and find their ideas on the test papers again.

But before they could continue answering the questions, another person stood up and handed in advance.

These people inevitably looked up again.

At this moment, they felt that the person who handed in the paper in advance gave them even more feelings than Chen Zhou.

Although she is the second one to hand in the paper.

But she is a non-math majoring student!

That's right, this person is Yang Yiyi.

After answering the last half of the question, Yang Yiyi checked it twice according to Chen Zhou's reminder.

Avoid ignoring the details of some steps and obvious omissions.

After confirming that, she didn't want to waste time, so she got up and handed in the paper.

As Yang Yiyi's figure gradually approached the door of the classroom of 1308, until she finally disappeared at the door of the classroom of 1308.

In the examination room in classroom 1308, most people's mentality was affected.

There were some people who had withstood the impact of Chen Zhou submitting the papers in advance alone, but in the end they could not withstand the impact of Yang Yiyi submitting the papers in advance again.

As Chen Zhou thought before, things like exams are sometimes based on on-the-spot performance.

There is no way, these people's ability to withstand pressure is still a little worse, which affects their performance on the spot.

Outside the examination room, Chen Zhou waved at her as soon as he saw Yang Yiyi coming out.

Yang Yiyi walked towards Chen Zhou in confusion.
Chapter completed!