All problems
All tutorials
Matrix Data Structure
Introduction
1. Introduction to Matrix
2. Basic Properties of Matrices
Matrix Operations
1. Matrix Addition and Subtraction
2. Matrix Multiplication
3. Scalar Multiplication
Special Matrices
1. Diagonal Matrices
2. Symmetric and Skew-Symmetric Matrices
3. Orthogonal Matrices
Determinants
1. Finding Determinants
2. Properties of Determinants
3. Applications of Determinants
Inverse of a Matrix
1. Finding the Inverse of a Matrix
2. Properties of Inverse Matrices
3. Applications of Inverse Matrices
Systems of Equations
1. Solving Systems of Equations with Matrices
2. Applications in Systems of Equations
Eigenvalues & Eigenvectors
1. Finding Eigenvalues
2. Finding Eigenvectors
3. Applications of Eigenvalues and Eigenvectors
Transpose of a Matrix
1. Finding the Transpose of a Matrix
2. Properties of Transpose
3. Applications of Transpose
Matrix Decomposition
1. LU Decomposition
2. QR Decomposition
3. Singular Value Decomposition
Matrix Applications
1. Matrices in Graphics
2. Matrices in Cryptography
3. Matrices in Data Analysis
Matrix Algorithms
1. Strassen Algorithm
2. Matrix Chain Multiplication
3. Hungarian Algorithm
Advanced Topics
1. Matrix Norms
2. Condition Number
3. Rank of a Matrix
4. Positive Definite Matrices
5. Matrix Functions