Lectures related to Alternative Definitions of Determinant

Covers LU factorization, determinants, subspaces, and matrix products.

Covers matrix operations and reduction to echelon form with practical examples.

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

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

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

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

Covers the definition and properties of determinants, including the rule of Sarrus for 3x3 matrices.