Diagonalization
Diagonalization refers to a process in Linear Algebra where a Matrix is transformed into a Diagonal Matrix, which has non-zero elements only on the main diagonal. This technique is crucial in various fields, including Physics, Engineering, and Computer Science. Diagonalization is used to simplify complex problems, making it easier to analyze and solve systems of equations. It is also closely related to the concept of Eigenvalues and Eigenvectors, which are essential in understanding the behavior of Linear Transformations. The process of diagonalization involves finding a Matrix that can transform the original matrix into a diagonal form, which can be achieved through various methods, including Orthogonal Diagonalization.