This page discusses the study of matrices with complex eigenvalues, detailing the methods for calculating eigenvalues and eigenvectors, particularly for \(2 \times 2\) and \(3 \times 3\) matrices. It ...This page discusses the study of matrices with complex eigenvalues, detailing the methods for calculating eigenvalues and eigenvectors, particularly for \(2 \times 2\) and \(3 \times 3\) matrices. It highlights the significance of the characteristic polynomial, the rotation-scaling theorem, and the block diagonalization theorem, emphasizing geometric interpretations of transformations.
