Polynomial greatest common divisor

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Page 2 of 3

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

Explores Euclidean division for polynomials, emphasizing uniqueness of quotient and remainder.

Explains the Euclidean algorithm for polynomials over a field K, illustrating its application with examples.

Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.

Explains polynomial division, factor decomposition, and rational function simplification.

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

Covers the decomposition of linear operators and properties of eigenspaces.

Introduces algorithms as problem-solving procedures, covering complexity, correctness, and implementation in various languages.

Explains irreducibility in polynomial equations and the properties of primitive polynomials.

Covers the Euclidean algorithm for GCD calculation and algorithmic complexity analysis.