The basic results about linear ODEs of higher order are essentially the same as for second order equations, with 2 replaced by nn . The important concept of linear independence is somewhat more compl...The basic results about linear ODEs of higher order are essentially the same as for second order equations, with 2 replaced by nn . The important concept of linear independence is somewhat more complicated when more than two functions are involved.
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.
