Jordan Normal Form: Part 1

Related lectures (29)

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Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers the concept of eigenvalues and eigenvectors in linear algebra, focusing on the properties of endomorphisms.

Explores the Jordan normal form and its applications in linear algebra, focusing on diagonalization and cyclic bases.

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Covers the decomposition of a matrix into its eigenvalues and eigenvectors, the orthogonality of eigenvectors, and the normalization of vectors.

Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.

Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.

Covers the concept of diagonalization of matrices through the study of eigenvectors and eigenvalues.

Covers the proof of primary decomposition theorem for endomorphisms of finite-dimensional vector spaces.

Covers the Jordan Normal Form and its application in linear algebra.