Diagonalizable matrix
= Diagonalizable matrix
{wiki=Diagonalizable_matrix}
A matrix is said to be diagonalizable if it can be expressed in the form: \\\[ A = PDP^\{-1\} \\\] where: - \\( A \\) is the original square matrix, - \\( D \\) is a diagonal matrix (a matrix in which all the off-diagonal elements are zero), - \\( P \\) is an invertible matrix whose columns are the eigenvectors of \\( A \\), - \\( P^\{-1\} \\) is the inverse of the matrix \\( P \\