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