Lectures related to Row-echelon and reduced row-echelon matrices

Explores the equality of row spaces for equivalent row matrices and the determination of row ranks.

Explains the step-by-step process of LU factorization of a matrix.

Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

Covers the concept of inverse matrices and systems resolution, including the conditions for matrix invertibility and the Gauss-Jordan algorithm.

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

Covers matrices, linear applications, vector spaces, and bijective functions.