Chapter 86: I'll give you the question myself
Xu Yun walked to the podium with the eyes of the students in the professional class below, picked up the chalk and faced the blackboard to review the question.
"Call matrix A a power-zero matrix if there is a positive integer......"
"Proof:"
"If A is a power zero matrix of order n, then the pair ......"
——
As the question caught his eye, he immediately understood that this was a matrix problem in linear algebra.
It can be seen that Tang Yanshan still took care of him when he came up with the question.
However, this is the content of the later chapters, and if it were to be answered by other freshmen in the classroom, the final result would definitely be to give up.
He has done hundreds of big questions in the past few days, and naturally there are relatively similar types of questions.
So it's easy to answer.
With the blessing of abstract thinking and spatial thinking, after a little thought, there is an idea to solve the problem in my mind, and then I start to answer the board without any hesitation. Coupled with his powerful numerical calculations, he doesn't even need to make another draft calculation, and others look like they're 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.
Using algebraic methods to solve the problem, make sure that A is definitely not ranked.
n>r(A)≥r(A^)≥…… r(A^n+1)≥0
The idea of solving the problem is no problem.
The steps are also correct.
When Xu Yun wrote down the last symbol, he finally couldn't help but step forward and ask, "Have you really finished teaching yourself advanced algebra?" ”
"There's also mathematical analysis and analytic geometry." Xu Yun put down the chalk and answered truthfully.
When Tang Yanshan heard this, his whole person looked sluggish, and he didn't know what to say. After teaching at Kyonju University for so many years, it is the first time I have met such a worry-free student.
I haven't taught it myself, but I've already learned it.
If someone else had said this to him, he would have reprimanded him hard and wouldn't believe it.
However, Xu Yun proved his level with practical actions.
But this is not a trivial matter after all, and after a little hesitation, he still asks more.
"There is a lot of content in these three professional courses, and many knowledge points are of high difficulty, can you tell me how you learned by yourself?"
Of course, Xu Yun couldn't say that he used the points, and he organized the language a little in his heart, so he replied seriously: "I read the professor's public class on the school's official website, It may be that your explanation is easier to understand and I have learned a lot." ”
Tang Yanshan couldn't hear the suspicion of sycophancy in these words, but he just thought that Xu Yun was teaching himself mathematics and developing software, as if he had more time than others every day.
Don't you have to sleep at night?
In the end, out of concern, he still instructed.
"It's a good thing to be willing to study more, but the body is the capital of everything, so you should pay more attention to rest."
"I see, Professor." Xu Yun replied with a polite smile.
It's just that before he could get happy, Tang Yanshan's voice suddenly sounded in his ears again.
"I'll give you questions for next month's monthly exam to see how far you've learned."
Xu Yun's expression suddenly stiffened when he heard this: "Professor Tang, there is no need to ask questions." ”
"I think it's necessary." Tang Yanshan smiled at the corner of his mouth, and seemed to like seeing Xu Yun deflated.
But soon his expression softened and explained, "If you get a perfect score on the monthly exam, I can let you follow the sophomores." ”
Xu Yun was a little moved.
If Tang Yanshan really made the questions himself, the difficulty of the test paper would undoubtedly rise to a very high level.
Perhaps following the lectures in his sophomore year, he will be exposed to new content as early as possible, and he will end his undergraduate studies early.
Thinking about it this way, you really have to work hard.
"Then I'll try to fight for it."
said this to Tang Yanshan, and then turned around and walked to his seat under the stage.
Before his ass touched the stool, Qian Yudong's thumb was already up.
"Niu, Xu Yun."
"You actually finished learning the high generation quietly, I thought you were going to make a fool of yourself just now."
"Brother Yun, are you planning to complete the credits of your major courses in advance?" Zhao Yuefeng took Qian Yudong's words and asked.
You can see the look of adoration in his eyes.
"Maybe." Xu Yun gave an uncertain answer.
At first, he didn't have the idea of graduating early, after all, the ultimate goal he pursued was all kinds of truths.
There is no need to go into society to find a job.
Since I finished my freshman math major early because of the task, it's okay to speed up the progress.
If you become a graduate student early, you will have the opportunity to be exposed to national programs.
It's a lot better than writing an essay.
"It's definitely better to finish the credits early than later." After listening to everyone's conversation, Zhou Qi first affirmed Xu Yun's choice, and then asked a little embarrassedly: "That Xu Yun, is the self-learning method you said really easy to use?" ”
As soon as this remark came out.
Suddenly, it was like a cat seeing something fishy, and all the people around him who were diving and eavesdropping exploded.
"I also want to teach myself about the high generation."
"It's so difficult for Gao Dai, it's not enough to just listen to lectures in class."
"Please share!"
"Hold Xu Shen's thighs tightly, can I ask you questions in the future?"
Xu Yun felt the enthusiasm of the classmates surrounding him, and saw that Tang Yanshan on the podium was ready to start class, so he hurriedly answered to temporarily calm the craze.
"No problem, I'll post the link in the group when I go back."
With Tang Yanshan's affirmation, Xu Yun was even more free in the second class.
Continue to brush through your workbook.
……
College life is in some ways the same as high school, but it's also very regular and intense.
In particular, you have to deal with monthly exams and final exams.
When I was in high school, my teacher's favorite thing to say was that it was easy to work hard to get into college, but in fact, I found out that it was purely a lie after I actually entered college.
It's not impossible to want to be easy, provided you don't care about failing.
I can't even finish my studies.
Compared with others, Xu Yun's life is undoubtedly more regular.
After a math analysis class on Wednesday afternoon, Xu Yun and his roommates did not return to the dormitory after eating in the campus cafeteria.
Went straight to the school library.
After a few days of hard work, he is only a few dozen questions away from completing the advanced task of self-discipline, and in the face of this critical kick, he must say that he will shoot it in today. So he decided to complete these questions in a very learning environment like the library, and get the reward of the task first.
When you double your spatial thinking ability again, you will be more confident in facing the monthly exam.
Who let Tang Yanshan already say that he would personally give him questions in the monthly exam.
"It's a library of a key university, and there will be no shortage of people at any time."
Entering the library again with his student card, Xu Yun had no feeling in front of the sensational scene in front of him.
With a sigh of emotion in his heart, he looked around and searched for the empty seats in the study area.
Speaking of which, he hasn't been to the library for a few days, and he usually stays in the dormitory after class, except for going outside the study hall in the evening.
After all, it is convenient to 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, two familiar figures suddenly caught sight in the corner of his eye, and he walked over after a little hesitation.
The body stopped at the self-study table, carefully pulled out the chair and sat on the vacant seat next to Yao Leyi, and softly said hello to Chen Shihe opposite.
"Sister Shihe."
I met Chen Shihe and her roommate Yao Leyi in the library's information sharing space last time.
It's been a few days.
Today I happened to run into it again.
However, judging from the situation of the two of them today, it is clear that they have not reserved a high-level area like an information sharing space.
"It's time to start classes, how are you feeling now?"
Chen Shihe raised his beautiful eyes when he heard the sound, and when he saw that it was Xu Yun who was sitting down, he smiled and cared.
Today, Chen Shihe's dress is more casual, and it looks like she went out directly without makeup, but it did not affect her appearance at all, but because the smile on her face became a plus.
"Every day is very fulfilling." Xu Yun came back to his senses and said lightly.
He is not wrong at all, since the military training officially began to attend classes according to the curriculum, every day is either reading various math textbooks or brushing up on the exercise book.
Two weeks is more than what people learn in a semester.
If you want to say that it is not fulfilling, no one will believe it.
Just as the two were chatting briefly, Yao Leyi next to her was unhappy, stopped her pen and stabbed Xu Yun and said: "I said junior brother, can you not only have your sister Shihe in your eyes, don't you see me sitting here as a college sister?" As he spoke, he didn't forget to puff up his chest.
Xu Yun turned his head and looked at Yao Leyi like a gentleman, and hurriedly made up a greeting.
"That senior sister is good."
The expression on his face was somewhat crying and laughing.
Fortunately, Yao Leyi did not continue to tease Xu Yun, nodded with satisfaction when she heard this, and continued to lean over and continue to call her high math questions true.
Xu Yun glanced at it and noticed that Yao Leyi was doing the analysis of 800 postgraduate examination questions.
It can be seen that it is really hard to go to graduate school.
Soon he was immersed in his workbook, and as the tip of his pen swiped quickly across the sketchbook, his progress continued to increase at a visible rate.
I don't know how long it has been, just when he was about to successfully complete the task, Yao Leyi's movements beside him caught his attention.
"Shihe."
"You can tell me about this question, I still don't understand the answer after reading it just now."
Raising his eyes, he saw that Yao Leyi had already run to Chen Shihe's side at some point, holding a draft book in his hand and asking questions.
"I'll see."
Chen Shihe's high math score is better than Yao Leyi's, so he decisively took the draft book and looked at the big questions copied from it.
But I don't know what's going on, after a few minutes, Chen Shihe still hasn't calculated the correct answer, frowning and looking very tricky.
"The results and answers I calculated were wrong, so I guess which step was wrong."
"It's fine."
Yao Leyi didn't care about this result, and didn't forget to comfort Chen Shihe before taking the draft book and leaving: "I'll just ask a graduate student when I go back." ”
It stands to reason that in the face of this situation, Xu Yun does not need to interfere, but he can choose to ignore it when he has the ability, which seems to be a little unfriendly.
Anyway, for him, everyone's questions are done.
At this point, he immediately asked tentatively, "Can you let me see that?" ”
Thank you for the 100 coin reward from Kunlin Yuanshan, and thank you for the 100 coin reward that you haven't thought of yet!
(End of chapter)