In this lesson, I introduce the key concepts of eigenvalues and eigenvectors, working through clear examples to show how to compute and interpret them. I also cover diagonalisation, explaining when a matrix can be diagonalised and how to construct the diagonal form. Finally, I go through the Cayley–Hamilton Theorem, demonstrating how matrices satisfy their own characteristic equations and how this can be used in problem-solving. This video provides a solid foundation for building confidence in linear algebra.
