Linear Systems: Diagonal and Triangular Matrices, LU Factorization

Covers the basics of linear algebra, including matrix operations and singular value decomposition.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

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

Covers the concept of Singular Value Decomposition (SVD) for compressing information in matrices and images.