Matrix Multiplication: Algorithms and Complexity

Related lectures (29)

Page 1 of 3

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

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

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

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

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

Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.

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

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

Covers matrix operations and reduction to echelon form with practical examples.

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