# 2 by 2 solver

Here, we will be discussing about 2 by 2 solver. We will also look at some example problems and how to approach them.

## The Best 2 by 2 solver

Keep reading to understand more about 2 by 2 solver and how to use it. However, with Xiaopeng's recent performance declining, his mother found that he had no spirit in class every day, so she suspected Xiaopeng of staying up late to do other things. Once, my mother woke up and saw that her mobile phone was charging but not fully charged. When she went to bed, it made her mother suspicious. She immediately turned on her mobile phone and boarded Xiaopeng's QQ. She found that Xiaopeng talked with her classmates for more than 4 o'clock, and the content she shared was a terrible website.

It uses a single transformation to convert a dense matrix into a Hessenberg matrix. In this algorithm, Arnoldi algorithm first calculates the eigenvalues of the Heisenberg matrix in less steps, and then uses these eigenvalues as clues to calculate the eigenvalues of the original matrix. Later, it is found that this strategy is very effective for approximating the eigenvalues of large sparse matrices, and can be further extended to solve large sparse linear systems. When solving the linear equations, we will convert the coefficient matrix / augmented matrix into a row ladder matrix through a series of elementary row transformations. Then this series of elementary row transformations can be equivalent to sequentially left multiplying the corresponding elementary matrix The Gauss elimination algorithm for solving general ntimesn linear equations includes two basic steps: forward elimination (rotation and shear) and backward substitution (scaling).

He could solve it by listing an equation and dividing it by five. He simply flew away. At that time, all my friends envied him. However, when he really participated in the competition, it was not easy to list equations for many problems, and he failed in the exam that time.

if we encounter slightly more complex ones, we will not solve them, such as Riccati equation. When it comes to the second-order differential equation, there are fewer equations that can be solved, and many special functions are defined by the solution of the second-order differential equation, such as hypergeometric functions, Legendre functions, Bessel functions, Airy functions... We mentioned earlier that K (s, t) in the integral equation is the kernel function of the integral equation, so we guess that the difficulty of solving the integral equation is probably related to this kernel, and the more special the kernel, the easier it will be. In this section, I will begin to introduce the solution of Fredholm equation of the second kind.