In Section 5.1, we will define eigenvalues and eigenvectors, and show how to compute the latter; in Section 5.2 we will learn to compute the former. In Section 5.4 we study matrices that are similar t...In Section 5.1, we will define eigenvalues and eigenvectors, and show how to compute the latter; in Section 5.2 we will learn to compute the former. In Section 5.4 we study matrices that are similar to diagonal matrices and in Section 5.5 we study matrices that are similar to rotation-scaling matrices, thus gaining a solid geometric understanding of large classes of matrices.