Minimal Polynomials: Uniqueness and Division

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Covers the decomposition of linear operators and properties of eigenspaces.

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

Covers the calculation of the greatest common divisor using polynomial methods and the Euclidean algorithm.

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

Explores eigenvalues and minimal polynomial, emphasizing their importance in linear algebra.

Covers eigenvalues, eigenvectors, and their applications in linear algebra.

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

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

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Explores algebraic geometry, focusing on rings, bodies, quotient rings, and irreducible polynomials.