Eigenvalue is an important concept in linear algebra. It is widely used in mathematics, physics, chemistry, computer and other fields. Let a be an n-order square matrix. If there is a number M and a non-zero N-dimensional column vector X, so that Ax=mx holds, then M is called the eigenvalue or eigenvector of A. The non-zero N-dimensional column vector X is called the eigenvector or eigenvector of matrix A, and belongs to (corresponds to) the eigenvalue M, which is called the eigenvector or eigenvector of A for short.

Let A be an n-order matrix, and if there is a constant λ and an n-dimensional non-zero vector X, let Ax=λx, λ is the eigenvalue of matrix A, and X is the eigenvector that A belongs to the eigenvalue λ.

The benefits of learning mathematics:

1. Mathematics is the basis of all re-education and an important channel for cultivating logical thinking. Don't just look at the present, think about the long term. Mathematics is the soul of all disciplines.

2. Mathematics is the foundation of all sciences, and all major scientific and technological progress is closely related to mathematics. Without mathematics, there would be no computers, televisions and space shuttles, and there would be no such colorful life today.

3. Mathematics is a tool discipline, which is the basis of learning other disciplines and also a discipline to improve people's judgment, analysis and understanding.

Mathematics is not only a science, but also a universally applicable technology. It is the door and key to science. Learning mathematics is a very important measure to make oneself rational, and mathematics itself has its fun.