Lectures related to Matrix Multiplication: Algorithms and Complexity

Explores matrix operations, coefficients, multiplication properties, and the power of matrices.

Covers linear equations, characteristic polynomials, solutions, and matrices with operations like addition and multiplication.

Covers the concept of block decomposition in linear algebra, illustrating how matrices can be divided and manipulated using block structures.

Discusses Strassen's algorithm for matrix multiplication and heaps, covering efficient algorithms and their applications in computer science.

Covers matrix product, inverses, and properties of invertible matrices.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores upper triangular block matrices, invertibility, elementary transformations, and determinants with examples.

Explores the complexity of matrix computations, focusing on low rank approximation algorithms and their applications.