Companion matrix

Related lectures (31)

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Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

Covers the concept of symmetric matrices, orthogonal bases, and eigenvectors.

Covers systems of n linear first-order ODEs with constant coupling matrix A and explores properties of solutions and the superposition principle.

Covers the reduction of non-diagonalizable matrices and their geometric interpretations.

Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.

Covers the diagonalization of matrices using eigenvectors and eigenvalues.

Covers the structure theorem for state-space representations and companion forms.

Covers the process of determining if a matrix is diagonalizable.