O-Notation, Local Extrema

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Matrix Multiplication: Algorithms and Complexity

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

Linear Applications: Matrices and Transformations

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

Matrix-Matrix Multiplication: Algorithms and Applications

Explores theoretical and practical aspects of fast matrix-matrix multiplication algorithms and their significance in computer science.

Linear Algebra: Matrices Properties

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

Linear Algebra: Matrices and Operations

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

Matrix Multiplication

Covers matrix multiplication, properties, and the identity matrix in algebraic operations.

Matrix Multiplication: Divide-and-Conquer

Covers divide-and-conquer in matrix multiplication, recursion trees, the master method, maximum-subarray problem, and smart algorithm.

Matrix Multiplication: Strassen's Algorithm

Introduces matrix multiplication and Strassen's algorithm, covering divide-and-conquer approach, data structures like heaps, and MAX-HEAPIFY operation.

Matrix Multiplication and Inverses

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

Eigenstate Thermalization Hypothesis

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.