Research on the Application of Laplace's Theorem in the Calculation of Determinants

As an important part of algebra, determinant can be used to judge the solution of linear equations, calculate the dimension of vector space, judge the reversibility of square matrices, etc., but its calculation is often difficult to solve. This paper first introduces Laplace's theorem and its inferences, and gives the proof process. After that, the process of solving problems with Laplace's theorem is summarized, some ideas are obtained, and the feasibility and applicability of ideas are proved by examples.