Non-Diagonalizable Case: Triple Eigenvalue

This lecture discusses the case of a matrix with a triple eigenvalue, exploring the different scenarios based on the multiplicity of the eigenvalue. It covers the existence of a basis for R^3 or a invertible matrix P, the representation of the matrix in the basis, and the geometric interpretation of the basis. The lecture also delves into the properties of the matrix, its kernel, and image, providing a comprehensive understanding of non-diagonalizable matrices.