Linear Systems: Resolution and Solutions

Related lectures (26)

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Explains linear independence, basis, and matrix rank with examples and exercises.

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Explores second-order linear ODEs, solutions uniqueness, and linear independence.

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Covers linear applications, matrices, transformations, and the principle of superposition.

Introduces the Gauss-Jordan method for solving linear equations and explores unique solutions and efficiency comparisons.