Recursion Trees and Matrix Multiplication

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Related lectures (31)

Matrix Multiplication and Divide-and-Conquer Techniques

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

Matrix Multiplication: Divide-and-Conquer

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

Linear Algebra: Matrices and Operations

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

Matrix Multiplication: Applications and Properties

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

Linear Algebra: Basis and Matrices

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

Matrix Calculus

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

Characterization of Invertible Matrices

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

Matrix Multiplication

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

Linear Equations and Matrix Calculations

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

Linear Algebra: Matrices Properties

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

Matrix Operations: Definitions and Examples

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

Matrix Multiplication: Basics and Properties

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

Matrix Multiplication: Algorithms and Complexity

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

Dynamic Programming: Rod Cutting and Matrix Chain Multiplication

Introduces dynamic programming with a focus on rod cutting and matrix chain multiplication.

Matrix Operations: Definitions and Properties

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

Matrix Operations: Definitions and Theorems

Explores matrix operations, coefficients, multiplication properties, and the power of matrices.

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 Operations: Rules and Applications

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

Linear equations and matrices

Covers linear equations, characteristic polynomials, solutions, and matrices with operations like addition and multiplication.

Matrix Multiplication and Inverses

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

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