Polynomials and Endomorphisms

Related lectures (30)

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Covers the fundamental theorem of algebra, explaining how every polynomial has complex roots.

Explores polynomial operations, properties, and subspaces in vector spaces.

Explores division polynomials, theorems, spectral values, and minimal polynomials in endomorphisms and vector spaces.

Covers the properties of rings, examples of rings, and polynomials.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.