Matrix-Matrix Multiplication: Algorithms and Applications

Related lectures (28)

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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.