Lectures related to Matrix Operations: Partitions and Blocks

Explores LU decomposition of a matrix into lower and upper triangular matrices.

Explores the unique decomposition of matrices into diagonalizable and nilpotent parts, showcasing their properties and applications.

Covers LU factorization, linear independence, and matrix equations.

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

Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.

Explores LU factorization, rounding-off errors, sparse matrices, and matrix operations using MATLAB.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

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