Row Echelon Form: Gauss-Jordan Algorithm

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

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

Covers LU factorization, linear independence, and matrix equations.

Introduces elementary row operations on matrices and their applications in solving systems of linear equations.

Covers elementary row operations, row-equivalent matrices, row-echelon form, Gauss method, uniqueness of reduced form, and matrix rank.