👉 The term "diagonalize" refers to a mathematical operation or procedure used in linear algebra and matrix theory. It is often used when trying to find the eigenvalues of a square matrix, which are the numbers that will come out as solutions to the equation Ax = λx, where A is an n by n matrix and x is a column vector. The process of diagonalizing a matrix involves finding its eigenvectors, or linearly independent eigenvectors that satisfy the characteristic equation of the