I am also talking about this topic. My topic is the conditions and methods of matrix diagonalization. There are materials to refer to each other. Are you writing an opening report? I copied it from somewhere else.

Matrix diagonalization has been studied at home and abroad. As early as the end of19th century, people put forward the concept of diagonal matrix when studying the properties and calculation of determinant. Due to the development of computer, it has opened up a broad prospect for the application of matrix diagonalization. It often appears in different scientific and technical fields, such as solving differential equations, studying the distribution of mathematical statistics, and studying the standard form of set surfaces, which makes diagonal matrix widely used in computational mathematics.