Lectures related to System Equivalence

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Examines conditions for the existence of invertible matrices satisfying specific matrix equations involving eigenvalues.

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

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

Covers polynomial division, terms, factors, and integration methods.

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

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

Covers direct methods for solving linear systems in numerical analysis.

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