Lectures related to Matrix Operations: Rules and Applications

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

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

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

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

Explores the properties and applications of matrix transpose, including rotations and inverse matrices.

Covers matrix operations and properties of matrices, including symmetric and anti-symmetric matrices.