Matrices are key concepts in mathematics, widely used in solving equations and problems in fields like physics and computer science. A matrix is simply a grid of numbers, and a determinant is a value calculated from a square matrix.
Example:
\begin{bmatrix} 6 & 9 \\ 5 & -4 \\ \end{bmatrix}_{2\times 2} ,\begin{bmatrix} 3 & -4 & 5 \\ 1 & 7 & 6 \\ 6 & -2 & 9 \\\end{bmatrix}_{3 \times3}
Matrices Basics
Covers the basics of matrices, including types, operations, determinants, inverses, and their use in solving equations and real-life applications.
- Introduction
- Real-life Applications
- Types of Matrices
- Operations
- Determinant of a Matrix
- Properties of Determinants
- Invertible Matrix
- Inverse of a Matrix
- Solve a System of Equations using Matrices
- Transformation Matrix
- Augmented Matrix
Practice Questions
Practice questions on matrices, including matrix multiplication, previous year questions, etc.
Advanced Topics
Explore the advanced matrix concepts, including the rank and trace of a matrix, Cramer's rule, covariance matrix, and eigen decomposition, etc.
- Rank of Matrix
- Trace of Matrix
- Cramer's Rule
- Covariance Matrix
- Eigen Decomposition of a Matrix
- Eigenvalues and Eigenvectors
- Partition Matrix
For Programmers
Focuses on practical implementation of matrix concepts through coding problems, helping you build problem-solving skills.