Omnipotent Data

A genius remembers the address of this site in one second: (Vertex Chinese), the fastest update! No ads! Cheng Nuo lay on the bed and continued to hold the "Analytic Geometry".

Cheng Nuo's reading speed is very fast.

He only got this book last night, and he just read it this afternoon.

It can be said that before this, Cheng Nuo had never understood or even knew the content of this book.

But in just half an hour, Cheng Nuo had read the entire book of Analytical Geometry.

The content inside, whether it is the coordinates and vectors of the plane, or the various curves in the space, are all clear.

After each chapter, Cheng Nuo chose to do a few of the after-school questions.

Feeling...just no feeling.

It just doesn't feel anything at all, the question is made.

What else can Cheng Nuo do? He is also very helpless. There is almost no pleasure in challenging the limit. After reading it, I fell into dullness.

However, after-school questions are only the most basic questions used to consolidate knowledge points, not much.

Cheng Nuo believes that there will be more interesting and exciting topics in the subsequent in-depth study.

Just as Cheng Nuo just put down the textbook of "Analytic Geometry" and was about to get out of bed and ask Yuan Hua to go to the cafeteria to eat together, Little Fatty and McGrady returned to the dormitory almost back and forth.

"How are you two? Why didn't you come back so late?" Cheng Nuo got up from the bed, held on to the head of the bed, and asked them with interest.

"Hey!" The little fat man and McGrady looked at each other, both of them sighed long. "Speaking of it, it's all tears!"

Under Cheng Nuo's questioning, the two finally told the ending of their respective stories.

After the little fat man irritated the tempered Chen Mo-senpai by that sentence, he ran errands and handed tea in front of the road show booth. By the way, he performed a family-renowned massage technique on Chen Mo's shoulders.

Awei eighteenth style, all live without discount!

Chen Mo was instantly satisfied with the little fat man's massage technique, and immediately decided to include the little fat man in the piano club.

As for the main task, it is to serve tea and water to seniors and sisters and give a full set of massages by the way. When you are bored, you have to chat with you.

What, disagree? !

Hahaha! Can you disagree if you say you disagree?

Thus, the little fat man became a member of the Tsinghua Piano Club very honorably.

On McGrady's side, the tragedy was no less than Fatty.

Inexplicably, I found the senior sister I like, oh, no, it's senior! When the senior dressed as Qiuyue Aili turned out to be a long-established womenswear elder in the arena, McGrady almost desperately wanted to run.

But... in front of a lot of women's ladies, how can McGrady have a chance to escape.

Under the threat of indecent assault by the senior of "Auyue Aili", McGrady, with tears of humiliation, signed a bereavement and humiliating treaty of membership. Forced to join the Tsinghua News Agency voluntarily, living a life under the same roof with a lot of women's clothing bigwigs.

…………

"F(x, y) = 0, g(x, y) = 0. For such a binary system of high-degree equations, if you want to require all the solutions in the complex number domain, you can first set f(x, y), g (x, y) is regarded as a polynomial of x, let R(f, g)=(……^_^……^_^……), if (x1, y1) is a solution of the system of equations, then y1 It is a root of R(f, g),... It can be seen that if we want to solve the system of equations, we must first find all the roots of R(f, g)=0, and then substitute these roots into the system of equations. Find the value of x."

In the advanced generation class, Professor Liao stood on the podium and explained the third chapter of advanced algebra to everyone with his unique speed.

Today is Friday, and it is already the third high substitution class this week.

There are large chapters in a class. Professor Liao's teaching speed is very stable!

It also made the mathematics students miserable.

They had to pick up the lights every day to read late at night to barely keep up with Professor Liao's speed. That feeling seemed to make everyone go back to the time before the college entrance examination, which was quite sour.

However, for some difficult knowledge points, they are still at a half-knowledge.

The third chapter of advanced algebra taught by Professor Liao today is mainly about the problems and methods of solving various linear equations. Compared with the previous two chapters, its difficulty has risen to a level.

It is not so easy for everyone in the Department of Mathematics to understand.

Even Zhao Yang in the first row frowned when he was listening to Professor Liao's lecture.

"Okay." Professor Liao put the advanced textbook on the desk and opened the PPT. "About Chapter 3 Linear Equations, that's all I want to say."

"Next, let's look at a few practice questions, everyone try to do it. It's the old rule. I will ask my classmates to come up and tell you about these questions later."

On the PPT, three questions are displayed.

1. Find the rectangular coordinate equation of the curve composed of x=t^2-t+1 and y=2t^2+t-3.

2. Suppose A and B satisfy the n-th order square matrix on the number domain K, and X is the n*1 order matrix formed by the unknown quantities x1, x2,...xn, and the homogeneous linear equations AX=0 and BX= 0, there are l and m linearly independent solution vectors, where 1 is greater than or equal to 0, and m is greater than or equal to 0.

(1) Prove that (AB)X=0 has at least max(l,m) linearly independent solution vectors.

(2) If l+m is greater than n, prove that (A+B) X=0 must have a non-zero solution~www.readwn.com~ If AX=0, there is no common non-zero solution vector with BX=0, and l +m=n. Prove that any vector α in K^n can be uniquely expressed as α=β+γ, where β and γ are the solution vectors of AX=0 and BX=0 respectively.

3. Find the result:…………

…………

For the three questions, in terms of the difficulty of the more than 30 mathematics students present at the podium, none of them can be called easy.

After all, they have just finished this chapter. Although they have done pre-class preparations, they also tried to do a few practice questions after class.

But the difficulty of the exercises after class, and the difficulty of the questions given by Professor Liao, can really be said to be insignificant. Not at a level of difficulty at all.

Huh huh!

It was still a familiar scene, everyone in the Department of Mathematics frowned deeply, calculating seriously on the draft paper.

In the entire classroom, apart from the sound of the pen scratching across the paper, no noise was heard.

For three questions, Professor Liao gave everyone in the Department of Mathematics 20 minutes to solve the problems.

Twenty minutes later...

"Which classmate can come up and give us the first question?" Teacher Liao stood on the podium and asked everyone with a smile.

Huh!

The first question is the simplest of the three questions.

As soon as Liao Zhixing's words fell, almost seven or eight hands were raised.

"Okay, just this classmate, you come up to give us your solution and ideas. By the way, what is your name?"

"Hello teacher, my name is Zhao Yang." Zhao Yang, who was sitting in the first row, stood up and said politely.

"Then Zhao Yang, you can come up and talk about it." Professor Liao made a please gesture and stood on the side of the podium with a smile on his face.

Zhao Yang swaggered onto the podium.