👉 In mathematics, a diagonalization is a method of expressing a square matrix as a product of two matrices. This process is often used in linear algebra and matrix analysis to simplify or factorize large matrices. A diagonal matrix is an n-by-n matrix in which all its entries except the main diagonal are zero. In other words, it can be written as: \[ \text{diag}(a) = \begin{pmatrix} 0 & a_{11} & a_{12