My house collapsed since I became the top scorer in the college entrance examination

"Advanced Algebra. Found it!"

Xiao Ran stood next to the mathematics classification bookshelf, scanning the rows of books, and quickly found the white leather-covered book with advanced algebra written on it.

In his previous life, he had been tortured by this book.

After four years of college, the only thing he remembered was Lópida's Law.

This is also due to his second-rate roommate in his previous life. When he checked his scores in the dormitory, after seeing that he passed the high math with a score of 60 and a low score, he stayed up all night reviewing L'Opital's Law the night before the exam. He instantly became a loyal believer in Lópida's Law.

Immediately he proudly swore in front of them and cheered: "Wuhu! The Law of Lópida is the best in the world!!"

"Don't talk to me about Taylor's formula, Maclaurin's formula, what is the pinching criterion? Is there any useful L'Obitat formula?"

"There is no difficulty at the limit, Luo is finished!"

"I want to lose even if it doesn't exist at the extreme limit, and keep going all the way to the ancestral grave of Function!"

These words left a deep impression on him. Even after graduation, he had almost forgotten all his advanced mathematics knowledge. However, these five words of Lópida's Law remained in his mind.

The memory of the past drifted away in the wind. Xiao Ran was stunned for a moment, then picked up Advanced Mathematics, found a quiet corner of the library, opened the book, and put on his headphones.

Take out your mobile phone and log in to Station B. Station B has many college advanced mathematics courses.

Coupled with these course teachings, Xiao Ran's mind was quickly immersed in the textbooks.

Time passed little by little.

Soon, the contents of the first two chapters of advanced algebra, the solutions to linear equations and the contents of determinants were almost previewed.

Just when he was about to enter the next chapter to review.

A shy voice rang in his ear.

"Classmate, are you reviewing advanced algebra?"

Xiao Ran raised his head and saw a beautiful girl with twin ponytails looking at him sheepishly.

"Is something wrong?" Xiao Ran nodded and politely took off his headphones and asked.

"Well, can I ask you a question?" The girl pointed to the advanced algebra book on his desk, then clasped her hands together and asked in a low voice: "It's the advanced algebra you're reviewing. There's a question I'm not very good at. "

The girl blushed a little after she finished speaking.

Xiao Ran was a little silent when he heard this.

When did you have the illusion that I can do it too?

He had just finished previewing the first two chapters, and he might not have as much knowledge as this girl.

To be honest, he felt that this girl had found the wrong person.

Xiao Ran wanted to refuse, but he thought about it and asked, "Do you have a boyfriend?"

The girl became even more shy. She raised her head and glanced at Xiao Ran secretly, then lowered her head and hesitated for a long time before whispering: "Not yet."

"Then I won't!"

Girl: ".Ah???"

One sentence instantly set the girl’s brain CPU on fire.

She struggled for a long time and still couldn't understand Xiao Ran's logic. You shouldn't be happy that I don't have a boyfriend. She invited me to sit down and explained the topic to me. After she finished speaking, she added a WeChat message.

Of course, if you invite me to have dinner at noon, it's not impossible if we can chat with you.

But what do you mean?

"Then what if I want to say that I have a boyfriend?" the girl asked subconsciously.

have? Even less so!

Whether it does or not is a philosophical question.

Xiao Ran was silent for a moment, "If you have a boyfriend, shouldn't you ask your boyfriend? Why do you ask me?"

Girls with double ponytails:

Anyway, you just don’t want to tell me!

Xiao Ran ignored the girl, put on his headphones and immersed himself in the ocean of learning again.

The matter of the girl with twin tails was just a small episode for him, and he quickly got into the mood without any distractions.

Chapter 3, Section 1, Section 2.

Before I knew it, the morning passed.

At 12:30 noon, Xiao Ran was woken up by the feeling of hunger in his stomach.

He planned to borrow this advanced algebra book to continue reading.

Only then did he notice that the girl who asked him questions just now had not left.

Instead, he sat across from her, chewing on his pen and struggling with a math problem.

What kind of problem can trouble this girl all morning?

Xiao Ran couldn't help but be a little curious, walked to her, tilted his head and glanced at the math problem that had troubled her all morning.

This is a question about diagonalization.

Assume A is an n-order complex square matrix. It is proved that the necessary and sufficient condition for A to satisfy A＾k=I is that A can be diagonalized and all eigenvalues ​​are k-order unit roots.

The girl with twin tails didn't notice Xiao Ran beside her.

At this time, she was biting the end of her pen with a confused look on her face, unable to solve the problem in front of her.

At this moment, a gentle and magnetic voice came to her ears.

"You can think about using minimal polynomials to solve this problem of diagonalization."

The girl with twin ponytails was stunned for a moment, then nodded suddenly: "Yes!"

"Thank you?" She raised her head and was about to thank her, but found it was Xiao Ran, "Is it you?"

Xiao Ran raised his eyebrows and asked, "Are you surprised?"

"No, no, but...but aren't you unwilling to teach me?" The girl's face instantly turned red, and she quickly explained embarrassedly.

Xiao Ran showed a noncommittal expression, "Idleness is also idleness."

After saying that, he then asked: "Do you understand?"

girl:.

"Still don't understand."

So what does it mean when you show an expression of realization?

Xiao Ran glanced at the girl speechlessly, and then said: "Give me the pen!"

The girl hurriedly handed over the pen and thoughtfully made way for Xiao Ran to sit down.

Xiao Ran was not polite, took the pen and sat down, "If you want to prove this question, you must first know that the necessary and sufficient condition for the minimal polynomial of the compound square A to have no multiple roots is that A can be similarly diagonalized."

"After understanding this, it will be much easier to solve this question."

Xiao Ran explained while doing it.

"If A＾k=I, then f(x)=x^k-1 is the zeroing polynomial of A, and f'(x)=kx^(k-1) and f(x) are not greater than 0 degrees The common factor of f(x) has no multiple roots. Since f(x) is divisible by the minimal polynomial, the minimal polynomial has no multiple roots, so A can be diagonalized. Suppose λ is the eigenvalue of A, then there is a non-zero The vector ξ makes Aξ=λξ, ξ=A^kξ=λ^k and thus λk=1.”

Amazing!

The girl watched blankly as Xiao Ran solved the problem that had troubled her all morning with a smooth speed.

Is this guy still a human?

A feeling of a scumbag looking up to a top student emerged leisurely.

"That's it." After Xiao Ran proved the question, he threw away the pen and looked up at the girl: "Understood?"

The girl blushed instantly and whispered: "I understand!"

Xiao Ran didn't care whether she really understood or pretended to understand, he just assumed that she understood.

"Okay, I'll leave first."

He stood up and prepared to leave.

"Wait, classmate!" The girl looked at Xiao Ran with some embarrassment, "Well, can I ask you a question? Why are you still wearing sunglasses in the library? Don't you feel awkward?"

To be honest, she had been holding this in for a long time, but she never had the chance to ask.

It wasn't until Xiao Ran was about to leave that she couldn't help but ask.

"What do you mean?" Xiao Ran took off his sunglasses casually, "Sorry, I'm used to it."

Looking at that familiar face, the girl gradually opened her mouth wide with a dull look on her face.

who I am? where am I? What am I doing?

The girl couldn't help but doubt her life at this moment!

Is this the big star Xiao Xiaoran? ? ! !

"It's nothing, I'm leaving first!"

Xiao Ran waved his hand and walked towards the library door, leaving only the girl with a messy face.

I'm guilty. I got excited watching the game. I really didn't expect WBG to reach the finals. There will be another chapter later. If you can't wait, you can watch it tomorrow morning.