Xu Yun walked to the podium facing the eyes of the students in the professional class below, picked up the chalk and faced the blackboard to review the questions.
"Matrix A is called a nilpotent matrix if there are positive integers..."
"prove:"
"If A is an nilpotent matrix of order n, then..."
——
As the question caught his eye, he immediately understood that it was a matrix problem in linear algebra.
It can be seen that Tang Yanshan still took care of him when setting the questions.
However, this belongs to the content of the next chapter. If it were other freshmen in the classroom who answered this question, the final result would definitely be forced to give up.
He has done hundreds of big questions in the past few days, and naturally there are similar question types among them.
So it's easy to answer.
With the support of abstract thinking and spatial thinking, I had a solution to the problem in my mind after thinking for a while, and then I started writing the answers on the blackboard without any hesitation. Coupled with his powerful numerical calculation ability, he didn't even need to make additional drafts for calculations. Others looked like they were copying the answers.
On the side of the podium, Tang Yanshan watched Xu Yun's problem-solving process, and his expression gradually turned into surprise.
In the end, his face was full of shock.
Use algebraic methods to solve the problem and determine that A is definitely not of rank.
n>r(A)≥r(A^)≥……r(A^n+1)≥0
The problem-solving ideas are fine.
The steps are also correct.
When Xu Yun wrote the last symbol, he finally couldn't help but stepped forward and asked, "Have you really finished teaching yourself advanced algebra?"
"There are also mathematical analysis and analytic geometry." Xu Yun put down the chalk and answered truthfully.
When Tang Yanshan heard this, his expression was dull and he didn't know what to say. After so many years of teaching at Jingzhou University, this is the first time I have encountered such a worry-free student.
I have already learned it before I even teach it.
If anyone else had said this to him, he would have been severely scolded and would not believe it.
However, Xu Yun proved his level with practical actions.
But this was not a trivial matter after all. After a slight hesitation, he asked again.
"These three professional courses have a lot of content, and many knowledge points are of high difficulty. Can you tell me how you studied by yourself?"
Of course, Xu Yun could not say that he had used points. After organizing the words in his mind, he answered seriously: "I watched your professor's open classes on the school's official website. Maybe it was because your explanations were easier to understand and I learned a lot." .”
Tang Yanshan didn't hear any hint of flattery in his words. He just thought that Xu Yun taught himself mathematics and developed software. It was as if he had more time every day than others.
Don't you have to sleep at night?
In the end, he gave the instructions out of concern.
"It is indeed a good thing to be willing to study more, but your body is the capital of everything. You should pay more attention to rest."
"I understand, Professor." Xu Yun replied with a polite smile.
But before he could get happy, Tang Yanshan's voice suddenly sounded in his ears again.
"I will personally give you questions for next month's monthly exam to see how much you have learned."
Xu Yun's expression suddenly froze when he heard this: "Professor Tang, there is no need to ask questions."
"I think it's necessary." Tang Yanshan had a smile on his face, as if he liked seeing Xu Yun deflated.
But his expression soon softened and he explained: "If you can get full marks in the monthly exams, I can let you attend classes with sophomore students."
Xu Yun was a little moved.
If Tang Yanshan really writes the questions himself, the difficulty of the test paper will undoubtedly increase to a very high level.
Maybe by attending classes as a sophomore, he can be exposed to new content as early as possible and finish his undergraduate studies early.
Thinking about it this way, you really need to work hard.
"Then I'll try my best."
He expressed his stance to Tang Yanshan, then turned around and walked towards his seat under the stage.
Before his butt touched the stool, Qian Yudong's thumb was already raised.
"Awesome Xu Yun."
"You actually finished learning Gao Dai without saying a word. I thought you were going to make a fool of yourself just now."
"Brother Yun, do you plan to complete your professional course credits in advance?" Zhao Yuefeng took over Qian Yudong's words and asked.
You can see the admiration in his eyes.
"Maybe." Xu Yun gave an uncertain answer.
At first, he had no intention of graduating early. After all, the ultimate goal he pursued was all kinds of truths.
There is no need to enter society and find a job.
Since I finished the freshman mathematics course ahead of schedule because of the assignment, it would be okay to speed up the progress.
If you become a graduate student early, you will have the opportunity to be exposed to national-level projects.
This is much better than writing a paper.
"It is definitely better to complete the credits earlier than later." After listening to everyone's conversation, Zhou Qi first expressed his approval of Xu Yun's choice, and then asked a little embarrassedly: "That Xu Yun, that self-study method you mentioned Is it really useful?"
As soon as these words came out.
Suddenly, it was like a cat seeing something fishy, exploding all the people around who were diving and eavesdropping.
"I also want to teach myself advanced education."
"High school is too difficult. Just listening to lectures in class is not enough."
“Please share!”
"Hold Xu Shen's thighs tight, can I ask you questions in the future?"
Xu Yun felt the enthusiasm of the classmates surrounding him and saw that Tang Yanshan was getting ready to start class on the podium, so he quickly answered to calm down the enthusiasm temporarily.
"No problem, I'll send the link to the group later."
With Tang Yanshan's approval, Xu Yun became more free to do whatever he wanted in the second class.
Continue to brush up on your own problem set.
…
In some respects, college life is no different from high school. It is also very regular and stressful.
In particular, we have to deal with monthly exams, final exams, etc.
One of my favorite words from my high school teacher was that it would be easy once you work hard to get into college. In fact, it was only after you actually entered college that you discovered that this was purely a lie.
It's not impossible to take it easy, as long as you don't care about failing the exam.
I can't even graduate.
Compared with others, Xu Yun's life is undoubtedly more regular.
After finishing the mathematical analysis class on Wednesday afternoon, Xu Yun and his roommates finished eating in the campus restaurant and did not return to the dormitory.
Went straight into the school library.
After these days of hard work, he was only a few dozen questions away from completing the self-disciplined academic master's advanced task. Faced with this final step, he would definitely give it a shot today no matter what. So he decided to complete these questions in a scene with a learning atmosphere like the library, and get the rewards of the tasks first.
Once your spatial thinking ability is doubled again, you will be more confident when facing the monthly exam.
Tang Yanshan had already said that the monthly exams would be given to him in person.
"As expected of the library of a major university, there will never be a shortage of people at any time."
Entering the library again with his student card, Xu Yun felt nothing at all when faced with the bustling scene in front of him.
I sighed secretly in my heart, and then looked around to search for empty seats in the self-study area.
Speaking of which, he hasn't been to the library for a few days. In addition to going to the study room in the evening, he mostly stays in the dormitory after class.
After all, he can easily watch the open class videos on the school's official website, which can help him learn faster.
Just as he was walking around the self-study area, he suddenly saw two familiar figures in the corner of his eye. He hesitated for a while and walked over.
He stopped at the study table, carefully pulled out his chair and sat in the empty seat next to Yao Leyi, and softly said hello to Chen Shihe opposite.
"Sister Shihe."
Last time I met Chen Shihe and her roommate Yao Leyi in the library information sharing space.
After all these days.
I bumped into it again today by chance.
However, judging from the situation of the two of them today, they obviously did not make a reservation for a high-end area like the information sharing space.
"Class has started, how do you feel now?"
Hearing the sound, Chen Shihe raised her beautiful eyes, and when she saw Xu Yun sitting down, she smiled and said a word of concern.
Today, Chen Shihe's dress is more casual. It looks like she goes out without makeup, but it does not affect her appearance at all. On the contrary, the smile on her face becomes a bonus.
"Every day is quite fulfilling." Xu Yun said calmly after returning to his senses.
What he said was absolutely correct. Ever since the military training was over, he had officially started attending classes according to the curriculum. Every day he was either reading various mathematics textbooks or reviewing problem sets.
You can learn more in two weeks than others can in one semester.
No one would believe it if it was not fulfilling.
While the two were chatting briefly, Yao Leyi next to her became unhappy. She stopped writing and poked Xu Yun and said, "Junior, can you not only focus on your sister Shihe? I am a college girl sitting here." Didn't you see?" He said without forgetting to puff up his chest.
Xu Yun turned around and looked at Yao Leyi like a gentleman, and quickly added a greeting.
"That senior is good."
The expression on his face was somewhat dumbfounding.
Fortunately, Yao Leyi did not continue to tease Xu Yun. After hearing this sentence, she nodded with satisfaction and continued to lean over and continue to answer her high-level math questions.
Xu Yun glanced at it and noticed that Yao Leyi was doing analysis of 800 real postgraduate entrance examination questions.
It can be seen that I really worked hard for the postgraduate entrance examination.
Soon he was immersed in his own exercises. As the tip of the pen quickly crossed over the draft book, the progress of the task continued to increase at a speed visible to the naked eye.
I don't know how much time had passed, but just when he was about to successfully complete the task, Yao Leyi's movements next to him caught his attention.
"Shihe."
"Please tell me about this question. I just read the answer and I still don't quite understand it."
He raised his gaze and saw that Yao Leyi had run to Chen Shihe at some point, holding a draft book in his hand and asking questions.
"Let me see."
Chen Shihe's high math scores were better than Yao Leyi's, so he decisively took the draft book and looked at the big questions copied from it.
But for some reason, Chen Shihe still couldn't calculate the correct answer after a few minutes, and he frowned as if he was in trouble.
"The results and answers I calculated are wrong. It should be that the calculation of some step is wrong."
"fine."
Yao Leyi didn't care about the result. She picked up the draft book and comforted Chen Shihe before leaving: "I'll just ask a graduate student when I get back."
It stands to reason that Xu Yun does not need to intervene in this situation, but if he chooses to ignore it when he has the ability, it seems that he is not a friend enough.
Anyway, for him, everyone’s questions are solved.
When his thoughts reached this point, he immediately asked tentatively: "Can I take a look at that?"
Thanks to Kun Linyuanshan for the 100-point reward, and thanks for the 100-point reward that I haven’t thought of yet!
(End of chapter)
