Jordan Normal Form

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Explores canonical basis, linear mapping, and eigenvalues in linear algebra.

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Covers the matrix exponential, its convergence properties, and the Jordan normal form.

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

Covers the properties of finite dimensional algebras and non-semisimple representations.

Covers error-correcting codes, Hamming distance, and polynomial multiplication in algebraic fields.

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.