Elementary Operations: Matrix Version

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

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

Covers the definition and basic operations of matrices, including addition, scalar multiplication, and matrix multiplication.

Covers matrix invertibility, determining if a matrix is invertible, calculating its inverse, and elementary matrices.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.