Lectures related to Matrix-Matrix Multiplication: Algorithms and Applications

Discusses matrix multiplication using divide-and-conquer techniques and introduces Strassen's algorithm for improved efficiency.

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

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

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

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

Covers the definitions and properties of matrices, including matrix operations and determinants.

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

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

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

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

Covers matrix multiplication, properties, and inverses in linear algebra.

Covers matrix notation, arithmetic, multiplication algorithms, and complexity analysis.

Covers the basics of matrix multiplication, including properties and examples.

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers matrix notation, arithmetic, multiplication, algorithms, and complexity of matrix multiplication.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

Covers direct methods for solving linear systems in numerical analysis.

Covers linear applications, matrices, injectivity, surjectivity, and matrix multiplication properties.

Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.