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Lecture
Matrix Multiplication: Algorithms and Complexity
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Matrix Multiplication
Covers matrix multiplication, properties, and the identity matrix in algebraic operations.
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Explores matrix operations, coefficients, multiplication properties, and the power of matrices.
Matrix-Matrix Multiplication: Algorithms and Applications
Explores theoretical and practical aspects of fast matrix-matrix multiplication algorithms and their significance in computer science.
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Covers transformer architecture and subquadratic attention mechanisms, focusing on efficient approximations and their applications in machine learning.
Matrix Multiplication and Inverses
Covers matrix product, inverses, and properties of invertible matrices.
Numerical Analysis: Direct Methods for Linear Systems
Covers direct methods for solving linear systems in numerical analysis.
Matrix Operations: Definitions and Examples
Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.
Matrix Inversion: Basics and Properties
Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.
Matrix Computations: Low Rank Approximation
Explores the complexity of matrix computations, focusing on low rank approximation algorithms and their applications.